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150056140 = 225132321091
BaseRepresentation
bin10001111000110…
…10110011001100
3101110100122022211
420330122303030
5301403244030
622520120204
73501312313
oct1074326314
9343318284
10150056140
1177780443
1242306064
132511b620
1415d0127a
15d29112a
hex8f1accc

150056140 has 72 divisors (see below), whose sum is σ = 355079088. Its totient is φ = 52947840.

The previous prime is 150056131. The next prime is 150056147. The reversal of 150056140 is 41650051.

150056140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150056147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136995 + ... + 138085.

It is an arithmetic number, because the mean of its divisors is an integer number (4931654).

Almost surely, 2150056140 is an apocalyptic number.

150056140 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 150056140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177539544).

150056140 is an abundant number, since it is smaller than the sum of its proper divisors (205022948).

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

150056140 is a wasteful number, since it uses less digits than its factorization.

150056140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 150056140 is about 12249.7404054127. The cubic root of 150056140 is about 531.3955626035.

The spelling of 150056140 in words is "one hundred fifty million, fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 529 598 1058 1091 1196 1495 2116 2182 2645 2990 4364 5290 5455 5980 6877 10580 10910 13754 14183 21820 25093 27508 28366 34385 50186 56732 68770 70915 100372 125465 137540 141830 250930 283660 326209 501860 577139 652418 1154278 1304836 1631045 2308556 2885695 3262090 5771390 6524180 7502807 11542780 15005614 30011228 37514035 75028070 150056140