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150004272 = 243111272237
BaseRepresentation
bin10001111000011…
…10001000110000
3101110021000011210
420330032020300
5301400114042
622515040120
73501005145
oct1074161060
9343230153
10150004272
1177745480
12422a0040
1325100b32
1415cca3cc
15d280a9c
hex8f0e230

150004272 has 80 divisors (see below), whose sum is σ = 426258432. Its totient is φ = 45077760.

The previous prime is 150004247. The next prime is 150004289. The reversal of 150004272 is 272400051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65938 + ... + 68174.

Almost surely, 2150004272 is an apocalyptic number.

150004272 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 150004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213129216).

150004272 is an abundant number, since it is smaller than the sum of its proper divisors (276254160).

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

150004272 is a wasteful number, since it uses less digits than its factorization.

150004272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 150004272 is about 12247.6231163438. The cubic root of 150004272 is about 531.3343286294.

The spelling of 150004272 in words is "one hundred fifty million, four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 254 264 381 508 528 762 1016 1397 1524 2032 2237 2794 3048 4191 4474 5588 6096 6711 8382 8948 11176 13422 16764 17896 22352 24607 26844 33528 35792 49214 53688 67056 73821 98428 107376 147642 196856 284099 295284 393712 568198 590568 852297 1136396 1181136 1704594 2272792 3125089 3409188 4545584 6250178 6818376 9375267 12500356 13636752 18750534 25000712 37501068 50001424 75002136 150004272