Search a number
-
+
151008088 = 23711435701
BaseRepresentation
bin10010000000000…
…11001101011000
3101112011000011011
421000003031120
5302124224323
622552343304
73512355550
oct1100031530
9345130134
10151008088
1178270680
12426a4b34
13253929ca
14160ac160
15d3cd20d
hex9003358

151008088 has 64 divisors (see below), whose sum is σ = 361278720. Its totient is φ = 57456000.

The previous prime is 151008083. The next prime is 151008089. The reversal of 151008088 is 880800151.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151008083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23638 + ... + 29338.

It is an arithmetic number, because the mean of its divisors is an integer number (5644980).

Almost surely, 2151008088 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 151008088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180639360).

151008088 is an abundant number, since it is smaller than the sum of its proper divisors (210270632).

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

151008088 is a wasteful number, since it uses less digits than its factorization.

151008088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 31.

The square root of 151008088 is about 12288.5348190905. The cubic root of 151008088 is about 532.5169095411.

The spelling of 151008088 in words is "one hundred fifty-one million, eight thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 301 308 344 473 602 616 946 1204 1892 2408 3311 3784 5701 6622 11402 13244 22804 26488 39907 45608 62711 79814 125422 159628 245143 250844 319256 438977 490286 501688 877954 980572 1716001 1755908 1961144 2696573 3432002 3511816 5393146 6864004 10786292 13728008 18876011 21572584 37752022 75504044 151008088