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152314120 = 23574871117
BaseRepresentation
bin10010001010000…
…10000100001000
3101121121100200201
421011002010020
5302443022440
623040341544
73526435330
oct1105020410
9347540621
10152314120
1178a82942
12430148b4
132572c2ca
141632c0c0
15d58a19a
hex9142108

152314120 has 64 divisors (see below), whose sum is σ = 392820480. Its totient is φ = 52068096.

The previous prime is 152314111. The next prime is 152314157. The reversal of 152314120 is 21413251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135802 + ... + 136918.

It is an arithmetic number, because the mean of its divisors is an integer number (6137820).

Almost surely, 2152314120 is an apocalyptic number.

152314120 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 152314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196410240).

152314120 is an abundant number, since it is smaller than the sum of its proper divisors (240506360).

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

152314120 is a wasteful number, since it uses less digits than its factorization.

152314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 152314120 is about 12341.5606792658. The cubic root of 152314120 is about 534.0477076334.

Adding to 152314120 its reverse (21413251), we get a palindrome (173727371).

The spelling of 152314120 in words is "one hundred fifty-two million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 487 974 1117 1948 2234 2435 3409 3896 4468 4870 5585 6818 7819 8936 9740 11170 13636 15638 17045 19480 22340 27272 31276 34090 39095 44680 62552 68180 78190 136360 156380 312760 543979 1087958 2175916 2719895 3807853 4351832 5439790 7615706 10879580 15231412 19039265 21759160 30462824 38078530 76157060 152314120