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151960464 = 24322936389
BaseRepresentation
bin10010000111010…
…11101110010000
3101120221101120100
421003223232100
5302400213324
623025012400
73523433265
oct1103535620
9346841510
10151960464
1178861167
1242a84100
1325637346
141627926c
15d51a4c9
hex90ebb90

151960464 has 60 divisors (see below), whose sum is σ = 439955100. Its totient is φ = 48905472.

The previous prime is 151960463. The next prime is 151960477. The reversal of 151960464 is 464069151.

151960464 is a `hidden beast` number, since 1 + 5 + 196 + 0 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120824064 + 31136400 = 10992^2 + 5580^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151960463) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14019 + ... + 22370.

It is an arithmetic number, because the mean of its divisors is an integer number (7332585).

Almost surely, 2151960464 is an apocalyptic number.

It is an amenable number.

151960464 is an abundant number, since it is smaller than the sum of its proper divisors (287994636).

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

151960464 is a wasteful number, since it uses less digits than its factorization.

151960464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36432 (or 36423 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 151960464 is about 12327.2245051350. The cubic root of 151960464 is about 533.6340547112.

The spelling of 151960464 in words is "one hundred fifty-one million, nine hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 36389 72778 109167 145556 218334 291112 327501 436668 582224 655002 873336 1055281 1310004 1746672 2110562 2620008 3165843 4221124 5240016 6331686 8442248 9497529 12663372 16884496 18995058 25326744 37990116 50653488 75980232 151960464