Search a number
-
+
151712256 = 293432297
BaseRepresentation
bin10010000101011…
…11001000000000
3101120110210002110
421002233020000
5302314243011
623015415320
73521350533
oct1102571000
9346423073
10151712256
1178701733
1242984540
132557b387
1416212a1a
15d4bbba6
hex90af200

151712256 has 80 divisors (see below), whose sum is σ = 413750304. Its totient is φ = 49373184.

The previous prime is 151712243. The next prime is 151712257. The reversal of 151712256 is 652217151.

It is not an unprimeable number, because it can be changed into a prime (151712257) 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, 64900 + ... + 67196.

Almost surely, 2151712256 is an apocalyptic number.

151712256 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 151712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206875152).

151712256 is an abundant number, since it is smaller than the sum of its proper divisors (262038048).

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

151712256 is an equidigital number, since it uses as much as digits as its factorization.

151712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2345 counting only the distinct ones).

The product of its digits is 4200, while the sum is 30.

The square root of 151712256 is about 12317.1529177810. The cubic root of 151712256 is about 533.3433553672.

The spelling of 151712256 in words is "one hundred fifty-one million, seven hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1376 1536 2064 2297 2752 4128 4594 5504 6891 8256 9188 11008 13782 16512 18376 22016 27564 33024 36752 55128 66048 73504 98771 110256 147008 197542 220512 294016 296313 395084 441024 588032 592626 790168 882048 1176064 1185252 1580336 1764096 2370504 3160672 3528192 4741008 6321344 9482016 12642688 18964032 25285376 37928064 50570752 75856128 151712256