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150278320 = 2452325367
BaseRepresentation
bin10001111010100…
…01000010110000
3101110202221002201
420331101002300
5301432401240
622524552544
73503226133
oct1075210260
9343687081
10150278320
1177912365
12423b2754
13251987aa
1415d5c21a
15d2d6d9a
hex8f510b0

150278320 has 120 divisors (see below), whose sum is σ = 377694576. Its totient is φ = 55570944.

The previous prime is 150278309. The next prime is 150278333. The reversal of 150278320 is 23872051.

150278320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 2242927 + ... + 2242993.

Almost surely, 2150278320 is an apocalyptic number.

150278320 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 150278320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188847288).

150278320 is an abundant number, since it is smaller than the sum of its proper divisors (227416256).

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

150278320 is a wasteful number, since it uses less digits than its factorization.

150278320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 150278320 is about 12258.8058145971. The cubic root of 150278320 is about 531.6577028108.

The spelling of 150278320 in words is "one hundred fifty million, two hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 53 67 80 92 106 115 134 184 212 230 265 268 335 368 424 460 529 530 536 670 848 920 1058 1060 1072 1219 1340 1541 1840 2116 2120 2438 2645 2680 3082 3551 4232 4240 4876 5290 5360 6095 6164 7102 7705 8464 9752 10580 12190 12328 14204 15410 17755 19504 21160 24380 24656 28037 28408 30820 35443 35510 42320 48760 56074 56816 61640 70886 71020 81673 97520 112148 123280 140185 141772 142040 163346 177215 224296 280370 283544 284080 326692 354430 408365 448592 560740 567088 653384 708860 816730 1121480 1306768 1417720 1633460 1878479 2242960 2835440 3266920 3756958 6533840 7513916 9392395 15027832 18784790 30055664 37569580 75139160 150278320