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151041056 = 25171012749
BaseRepresentation
bin10010000000010…
…11010000100000
3101112012200101012
421000023100200
5302131303211
622553200052
73512553635
oct1100132040
9345180335
10151041056
1178293421
1242700028
13253a4a0a
14160ba18c
15d3d7d8b
hex900b420

151041056 has 48 divisors (see below), whose sum is σ = 318087000. Its totient is φ = 70348800.

The previous prime is 151041047. The next prime is 151041091. The reversal of 151041056 is 650140151.

It can be written as a sum of positive squares in 4 ways, for example, as 146797456 + 4243600 = 12116^2 + 2060^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53570 + ... + 56318.

Almost surely, 2151041056 is an apocalyptic number.

151041056 is a gapful number since it is divisible by the number (16) 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 151041056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159043500).

151041056 is an abundant number, since it is smaller than the sum of its proper divisors (167045944).

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

151041056 is a wasteful number, since it uses less digits than its factorization.

151041056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 151041056 is about 12289.8761588553. The cubic root of 151041056 is about 532.5556596510. Note that the first 3 decimals are identical.

The spelling of 151041056 in words is "one hundred fifty-one million, forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 272 404 544 808 1616 1717 2749 3232 3434 5498 6868 10996 13736 21992 27472 43984 46733 54944 87968 93466 186932 277649 373864 555298 747728 1110596 1495456 2221192 4442384 4720033 8884768 9440066 18880132 37760264 75520528 151041056