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1533196080 = 243351354601
BaseRepresentation
bin101101101100010…
…1011011100110000
310221211222102122000
41123120223130300
511114444233310
6412045414000
752664644263
oct13330533460
93854872560
101533196080
117174a39a9
1236956a300
131b5845c20
141078a4cda
158e9054c0
hex5b62b730

1533196080 has 160 divisors (see below), whose sum is σ = 5687344320. Its totient is φ = 377395200.

The previous prime is 1533196069. The next prime is 1533196087. The reversal of 1533196080 is 806913351.

It is a happy number.

1533196080 is a `hidden beast` number, since 1 + 5 + 33 + 19 + 608 + 0 = 666.

1533196080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1533196087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780 + ... + 55380.

It is an arithmetic number, because the mean of its divisors is an integer number (35545902).

Almost surely, 21533196080 is an apocalyptic number.

1533196080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1533196080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843672160).

1533196080 is an abundant number, since it is smaller than the sum of its proper divisors (4154148240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1533196080 is a wasteful number, since it uses less digits than its factorization.

1533196080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54636 (or 54624 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1533196080 is about 39156.0478087358. The cubic root of 1533196080 is about 1153.0971535347.

The spelling of 1533196080 in words is "one billion, five hundred thirty-three million, one hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 54601 109202 163803 218404 273005 327606 436808 491409 546010 655212 709813 819015 873616 982818 1092020 1310424 1419626 1474227 1638030 1965636 2129439 2184040 2457045 2620848 2839252 2948454 3276060 3549065 3931272 4258878 4368080 4914090 5678504 5896908 6388317 6552120 7098130 7371135 7862544 8517756 9828180 10647195 11357008 11793816 12776634 13104240 14196260 14742270 17035512 19164951 19656360 21294390 23587632 25553268 28392520 29484540 31941585 34071024 38329902 39312720 42588780 51106536 56785040 58969080 63883170 76659804 85177560 95824755 102213072 117938160 127766340 153319608 170355120 191649510 255532680 306639216 383299020 511065360 766598040 1533196080