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151353072 = 243213233347
BaseRepresentation
bin10010000010101…
…11011011110000
3101112210112101100
421001113123300
5302221244242
623004004400
73515323413
oct1101273360
9345715340
10151353072
1178486892
1242830700
1325483a40
141615bb7a
15d44a54c
hex90576f0

151353072 has 120 divisors (see below), whose sum is σ = 459439344. Its totient is φ = 46236672.

The previous prime is 151353071. The next prime is 151353101. The reversal of 151353072 is 270353151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151353071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436003 + ... + 436349.

Almost surely, 2151353072 is an apocalyptic number.

151353072 is a gapful number since it is divisible by the number (12) 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 151353072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229719672).

151353072 is an abundant number, since it is smaller than the sum of its proper divisors (308086272).

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

151353072 is a wasteful number, since it uses less digits than its factorization.

151353072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 151353072 is about 12302.5636352754. The cubic root of 151353072 is about 532.9221198310.

The spelling of 151353072 in words is "one hundred fifty-one million, three hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 233 234 312 347 466 468 624 694 699 932 936 1041 1388 1398 1864 1872 2082 2097 2776 2796 3029 3123 3728 4164 4194 4511 5552 5592 6058 6246 8328 8388 9022 9087 11184 12116 12492 13533 16656 16776 18044 18174 24232 24984 27066 27261 33552 36088 36348 40599 48464 49968 54132 54522 72176 72696 80851 81198 108264 109044 145392 161702 162396 216528 218088 242553 323404 324792 436176 485106 646808 649584 727659 970212 1051063 1293616 1455318 1940424 2102126 2910636 3153189 3880848 4204252 5821272 6306378 8408504 9459567 11642544 12612756 16817008 18919134 25225512 37838268 50451024 75676536 151353072