Search a number
-
+
1520107128 = 23337339601
BaseRepresentation
bin101101010011010…
…1111111001111000
310220221100102222000
41122212233321320
511103121412003
6410501101000
752445461131
oct13246577170
93827312860
101520107128
11710073a91
123650b7760
131b2c12397
14105c58c88
158d6bc1a3
hex5a9afe78

1520107128 has 64 divisors (see below), whose sum is σ = 4228720800. Its totient is φ = 505958400.

The previous prime is 1520107091. The next prime is 1520107157. The reversal of 1520107128 is 8217010251.

1520107128 is a `hidden beast` number, since 1 + 520 + 10 + 7 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153528 + ... + 163128.

Almost surely, 21520107128 is an apocalyptic number.

1520107128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1520107128 is an abundant number, since it is smaller than the sum of its proper divisors (2708613672).

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

1520107128 is a wasteful number, since it uses less digits than its factorization.

1520107128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1520107128 is about 38988.5512426404. The cubic root of 1520107128 is about 1149.8064269020.

Adding to 1520107128 its reverse (8217010251), we get a palindrome (9737117379).

The spelling of 1520107128 in words is "one billion, five hundred twenty million, one hundred seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 733 1466 2199 2932 4398 5864 6597 8796 9601 13194 17592 19202 19791 26388 28803 38404 39582 52776 57606 76808 79164 86409 115212 158328 172818 230424 259227 345636 518454 691272 1036908 2073816 7037533 14075066 21112599 28150132 42225198 56300264 63337797 84450396 126675594 168900792 190013391 253351188 380026782 506702376 760053564 1520107128