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150275712 = 2731943479
BaseRepresentation
bin10001111010100…
…00011010000000
3101110202210112010
420331100122000
5301432310322
622524532520
73503215416
oct1075203200
9343683463
10150275712
1177910404
12423b1140
1325197552
1415d5b2b6
15d2d620c
hex8f50680

150275712 has 128 divisors (see below), whose sum is σ = 430848000. Its totient is φ = 46255104.

The previous prime is 150275659. The next prime is 150275729. The reversal of 150275712 is 217572051.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150275712.

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, 313489 + ... + 313967.

It is an arithmetic number, because the mean of its divisors is an integer number (3366000).

Almost surely, 2150275712 is an apocalyptic number.

150275712 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 150275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215424000).

150275712 is an abundant number, since it is smaller than the sum of its proper divisors (280572288).

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

150275712 is a wasteful number, since it uses less digits than its factorization.

150275712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 150275712 is about 12258.6994416210. The cubic root of 150275712 is about 531.6546272478.

The spelling of 150275712 in words is "one hundred fifty million, two hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 128 129 152 172 192 228 258 304 344 384 456 479 516 608 688 817 912 958 1032 1216 1376 1437 1634 1824 1916 2064 2432 2451 2752 2874 3268 3648 3832 4128 4902 5504 5748 6536 7296 7664 8256 9101 9804 11496 13072 15328 16512 18202 19608 20597 22992 26144 27303 30656 36404 39216 41194 45984 52288 54606 61312 61791 72808 78432 82388 91968 104576 109212 123582 145616 156864 164776 183936 218424 247164 291232 313728 329552 391343 436848 494328 582464 659104 782686 873696 988656 1164928 1174029 1318208 1565372 1747392 1977312 2348058 2636416 3130744 3494784 3954624 4696116 6261488 7909248 9392232 12522976 18784464 25045952 37568928 50091904 75137856 150275712