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1483800640 = 26573717903
BaseRepresentation
bin101100001110001…
…0000000001000000
310211102000212211021
41120130100001000
511014323110030
6403122555224
751525045250
oct13034200100
93742025737
101483800640
116a1626423
12354b08b14
131a853ca5a
141010c7960
158a3e997a
hex58710040

1483800640 has 112 divisors (see below), whose sum is σ = 4147425792. Its totient is φ = 494954496.

The previous prime is 1483800583. The next prime is 1483800707. The reversal of 1483800640 is 460083841.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1483800596 and 1483800605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73929 + ... + 91831.

Almost surely, 21483800640 is an apocalyptic number.

1483800640 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 1483800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073712896).

1483800640 is an abundant number, since it is smaller than the sum of its proper divisors (2663625152).

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

1483800640 is a wasteful number, since it uses less digits than its factorization.

1483800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17964 (or 17954 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1483800640 is about 38520.1329177354. The cubic root of 1483800640 is about 1140.5785101112.

The spelling of 1483800640 in words is "one billion, four hundred eighty-three million, eight hundred thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 259 280 296 320 370 448 518 560 592 740 1036 1120 1184 1295 1480 2072 2240 2368 2590 2960 4144 5180 5920 8288 10360 11840 16576 17903 20720 35806 41440 71612 82880 89515 125321 143224 179030 250642 286448 358060 501284 572896 626605 662411 716120 1002568 1145792 1253210 1324822 1432240 2005136 2506420 2649644 2864480 3312055 4010272 4636877 5012840 5299288 5728960 6624110 8020544 9273754 10025680 10598576 13248220 18547508 20051360 21197152 23184385 26496440 37095016 40102720 42394304 46368770 52992880 74190032 92737540 105985760 148380064 185475080 211971520 296760128 370950160 741900320 1483800640