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151540116 = 223713731901
BaseRepresentation
bin10010000100001…
…01000110010100
3101120011000221220
421002011012110
5302243240431
623012010340
73520032630
oct1102050624
9346130856
10151540116
11785a4372
12429009b0
132551ac10
14161a9dc0
15d485b96
hex9085194

151540116 has 96 divisors (see below), whose sum is σ = 441385728. Its totient is φ = 39398400.

The previous prime is 151540087. The next prime is 151540117. The reversal of 151540116 is 611045151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151540117) 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, 78766 + ... + 80666.

It is an arithmetic number, because the mean of its divisors is an integer number (4597768).

Almost surely, 2151540116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151540116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220692864).

151540116 is an abundant number, since it is smaller than the sum of its proper divisors (289845612).

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

151540116 is a wasteful number, since it uses less digits than its factorization.

151540116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 151540116 is about 12310.1631183344. The cubic root of 151540116 is about 533.1415600445.

Adding to 151540116 its reverse (611045151), we get a palindrome (762585267).

The spelling of 151540116 in words is "one hundred fifty-one million, five hundred forty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 73 78 84 91 146 156 182 219 273 292 364 438 511 546 876 949 1022 1092 1533 1898 1901 2044 2847 3066 3796 3802 5694 5703 6132 6643 7604 11388 11406 13286 13307 19929 22812 24713 26572 26614 39858 39921 49426 53228 74139 79716 79842 98852 138773 148278 159684 172991 277546 296556 345982 416319 518973 555092 691964 832638 971411 1037946 1665276 1804049 1942822 2075892 2914233 3608098 3885644 5412147 5828466 7216196 10824294 11656932 12628343 21648588 25256686 37885029 50513372 75770058 151540116