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151302272 = 271129769
BaseRepresentation
bin10010000010010…
…11000010000000
3101112200221200212
421001023002000
5302213133042
623002533252
73515022332
oct1101130200
9345627625
10151302272
1178451700
1242807228
1325466894
1416147452
15d43a482
hex904b080

151302272 has 48 divisors (see below), whose sum is σ = 331349550. Its totient is φ = 68766720.

The previous prime is 151302269. The next prime is 151302293. The reversal of 151302272 is 272203151.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 136983616 + 14318656 = 11704^2 + 3784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10604 + ... + 20372.

Almost surely, 2151302272 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 151302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165674775).

151302272 is an abundant number, since it is smaller than the sum of its proper divisors (180047278).

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

151302272 is an equidigital number, since it uses as much as digits as its factorization.

151302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9805 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 151302272 is about 12300.4988516726. The cubic root of 151302272 is about 532.8624900027.

The spelling of 151302272 in words is "one hundred fifty-one million, three hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 9769 15488 19538 39076 78152 107459 156304 214918 312608 429836 625216 859672 1182049 1250432 1719344 2364098 3438688 4728196 6877376 9456392 13754752 18912784 37825568 75651136 151302272