[go: up one dir, main page]

Search a number
-
+
151230656 = 2643179307
BaseRepresentation
bin10010000001110…
…01100011000000
3101112120022110102
421000321203000
5302203340111
623001221532
73514303463
oct1100714300
9345508412
10151230656
1178402915
12427918a8
13254400c5
14161292da
15d42413b
hex90398c0

151230656 has 56 divisors (see below), whose sum is σ = 309798720. Its totient is φ = 73204992.

The previous prime is 151230641. The next prime is 151230659. The reversal of 151230656 is 656032151.

It is a super-2 number, since 2×1512306562 = 45741422628380672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151230659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492455 + ... + 492761.

It is an arithmetic number, because the mean of its divisors is an integer number (5532120).

Almost surely, 2151230656 is an apocalyptic number.

151230656 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 151230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154899360).

151230656 is an abundant number, since it is smaller than the sum of its proper divisors (158568064).

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

151230656 is a wasteful number, since it uses less digits than its factorization.

151230656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 151230656 is about 12297.5874056662. The cubic root of 151230656 is about 532.7784033547.

The spelling of 151230656 in words is "one hundred fifty-one million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 179 307 344 358 614 688 716 1228 1376 1432 2456 2752 2864 4912 5728 7697 9824 11456 13201 15394 19648 26402 30788 52804 54953 61576 105608 109906 123152 211216 219812 246304 422432 439624 492608 844864 879248 1758496 2362979 3516992 4725958 9451916 18903832 37807664 75615328 151230656