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151931304 = 233272511201
BaseRepresentation
bin10010000111001…
…00100110101000
3101120212220120100
421003210212220
5302343300204
623024225400
73523252260
oct1103444650
9346786510
10151931304
1178841268
1242a6b260
1325626ca5
141626c7a0
15d511a39
hex90e49a8

151931304 has 96 divisors (see below), whose sum is σ = 472530240. Its totient is φ = 43200000.

The previous prime is 151931303. The next prime is 151931357. The reversal of 151931304 is 403139151.

151931304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1519313042 = 46166242270280832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151931303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125904 + ... + 127104.

It is an arithmetic number, because the mean of its divisors is an integer number (4922190).

Almost surely, 2151931304 is an apocalyptic number.

151931304 is a gapful number since it is divisible by the number (14) 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 151931304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236265120).

151931304 is an abundant number, since it is smaller than the sum of its proper divisors (320598936).

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

151931304 is a wasteful number, since it uses less digits than its factorization.

151931304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 151931304 is about 12326.0417004000. The cubic root of 151931304 is about 533.5999191559.

It can be divided in two parts, 1519 and 31304, that added together give a palindrome (32823).

The spelling of 151931304 in words is "one hundred fifty-one million, nine hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 251 252 502 504 753 1004 1201 1506 1757 2008 2259 2402 3012 3514 3603 4518 4804 5271 6024 7028 7206 8407 9036 9608 10542 10809 14056 14412 15813 16814 18072 21084 21618 25221 28824 31626 33628 42168 43236 50442 63252 67256 75663 86472 100884 126504 151326 201768 301451 302652 602902 605304 904353 1205804 1808706 2110157 2411608 2713059 3617412 4220314 5426118 6330471 7234824 8440628 10852236 12660942 16881256 18991413 21704472 25321884 37982826 50643768 75965652 151931304