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150163020 = 223257373221
BaseRepresentation
bin10001111001101…
…00111001001100
3101110120001221100
420330310321030
5301420204040
622522303100
73502236030
oct1074647114
9343501840
10150163020
1177843777
1242357a90
1325158177
1415d2c1c0
15d2b2b30
hex8f34e4c

150163020 has 144 divisors (see below), whose sum is σ = 534800448. Its totient is φ = 33384960.

The previous prime is 150163001. The next prime is 150163031. The reversal of 150163020 is 20361051.

150163020 is a `hidden beast` number, since 15 + 0 + 1 + 630 + 20 = 666.

150163020 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 150162984 and 150163002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45010 + ... + 48230.

It is an arithmetic number, because the mean of its divisors is an integer number (3713892).

Almost surely, 2150163020 is an apocalyptic number.

150163020 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 150163020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267400224).

150163020 is an abundant number, since it is smaller than the sum of its proper divisors (384637428).

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

150163020 is a wasteful number, since it uses less digits than its factorization.

150163020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 150163020 is about 12254.1021702938. The cubic root of 150163020 is about 531.5216977921.

The spelling of 150163020 in words is "one hundred fifty million, one hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3221 3330 3885 4662 5180 6442 6660 7770 9324 9663 11655 12884 15540 16105 19326 22547 23310 28989 32210 38652 45094 46620 48315 57978 64420 67641 90188 96630 112735 115956 119177 135282 144945 193260 202923 225470 238354 270564 289890 338205 357531 405846 450940 476708 579780 595885 676410 715062 811692 834239 1014615 1072593 1191770 1352820 1430124 1668478 1787655 2029230 2145186 2383540 2502717 3336956 3575310 4058460 4171195 4290372 5005434 5362965 7150620 7508151 8342390 10010868 10725930 12513585 15016302 16684780 21451860 25027170 30032604 37540755 50054340 75081510 150163020