Search a number
-
+
151425664 = 27131753101
BaseRepresentation
bin10010000011010…
…01001010000000
3101112221012221221
421001221022000
5302231110124
623005324424
73516045145
oct1101511200
9345835857
10151425664
1178526385
1242866714
13254aaab0
141617a3cc
15d461ce4
hex9069280

151425664 has 128 divisors (see below), whose sum is σ = 353944080. Its totient is φ = 63897600.

The previous prime is 151425653. The next prime is 151425709. The reversal of 151425664 is 466524151.

It can be written as a sum of positive squares in 8 ways, for example, as 125619264 + 25806400 = 11208^2 + 5080^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1499214 + ... + 1499314.

Almost surely, 2151425664 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 151425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176972040).

151425664 is an abundant number, since it is smaller than the sum of its proper divisors (202518416).

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

151425664 is a wasteful number, since it uses less digits than its factorization.

151425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 151425664 is about 12305.5135610018. The cubic root of 151425664 is about 533.0073062956.

The spelling of 151425664 in words is "one hundred fifty-one million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 53 64 68 101 104 106 128 136 202 208 212 221 272 404 416 424 442 544 689 808 832 848 884 901 1088 1313 1378 1616 1664 1696 1717 1768 1802 2176 2626 2756 3232 3392 3434 3536 3604 5252 5353 5512 6464 6784 6868 7072 7208 10504 10706 11024 11713 12928 13736 14144 14416 21008 21412 22048 22321 23426 27472 28288 28832 42016 42824 44096 44642 46852 54944 57664 69589 84032 85648 88192 89284 91001 93704 109888 115328 139178 168064 171296 178568 182002 187408 219776 278356 342592 357136 364004 374816 556712 685184 714272 728008 749632 1113424 1183013 1428544 1456016 1499264 2226848 2366026 2857088 2912032 4453696 4732052 5824064 8907392 9464104 11648128 18928208 37856416 75712832 151425664