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151916430 = 23531163351
BaseRepresentation
bin10010000111000…
…00111110001110
3101120212011011110
421003200332032
5302342311210
623024032450
73523161021
oct1103407616
9346764143
10151916430
1178831076
1242a62726
13256202a3
14162671b8
15d50c420
hex90e0f8e

151916430 has 32 divisors (see below), whose sum is σ = 376363008. Its totient is φ = 39204000.

The previous prime is 151916383. The next prime is 151916441. The reversal of 151916430 is 34619151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80746 + ... + 82605.

It is an arithmetic number, because the mean of its divisors is an integer number (11761344).

Almost surely, 2151916430 is an apocalyptic number.

151916430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151916430 is an abundant number, since it is smaller than the sum of its proper divisors (224446578).

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

151916430 is a wasteful number, since it uses less digits than its factorization.

151916430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163392.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 151916430 is about 12325.4383289196. The cubic root of 151916430 is about 533.5825055310.

The spelling of 151916430 in words is "one hundred fifty-one million, nine hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 163351 326702 490053 816755 980106 1633510 2450265 4900530 5063881 10127762 15191643 25319405 30383286 50638810 75958215 151916430