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150056240 = 24543181241
BaseRepresentation
bin10001111000110…
…10110100110000
3101110100122110112
420330122310300
5301403244430
622520120452
73501312515
oct1074326460
9343318415
10150056240
1177780524
1242306128
132511b699
1415d0130c
15d291195
hex8f1ad30

150056240 has 80 divisors (see below), whose sum is σ = 360456096. Its totient is φ = 58060800.

The previous prime is 150056239. The next prime is 150056273. The reversal of 150056240 is 42650051.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 622520 + ... + 622760.

Almost surely, 2150056240 is an apocalyptic number.

150056240 is a gapful number since it is divisible by the number (10) 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 150056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180228048).

150056240 is an abundant number, since it is smaller than the sum of its proper divisors (210399856).

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

150056240 is a wasteful number, since it uses less digits than its factorization.

150056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 150056240 is about 12249.7444871311. The cubic root of 150056240 is about 531.3956806472.

The spelling of 150056240 in words is "one hundred fifty million, fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 181 215 241 344 362 430 482 688 724 860 905 964 1205 1448 1720 1810 1928 2410 2896 3440 3620 3856 4820 7240 7783 9640 10363 14480 15566 19280 20726 31132 38915 41452 43621 51815 62264 77830 82904 87242 103630 124528 155660 165808 174484 207260 218105 311320 348968 414520 436210 622640 697936 829040 872420 1744840 1875703 3489680 3751406 7502812 9378515 15005624 18757030 30011248 37514060 75028120 150056240