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152890140 = 223513316323
BaseRepresentation
bin10010001110011…
…10101100011100
3101122200121211210
421013032230130
5303114441030
623100544420
73534354564
oct1107165434
9348617753
10152890140
1179336697
1243252110
13258a1550
141643bda4
15d650bb0
hex91ceb1c

152890140 has 96 divisors (see below), whose sum is σ = 475969536. Its totient is φ = 36414720.

The previous prime is 152890103. The next prime is 152890141. The reversal of 152890140 is 41098251.

It is a happy number.

152890140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152890098 and 152890107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152890141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21019 + ... + 27341.

It is an arithmetic number, because the mean of its divisors is an integer number (4958016).

Almost surely, 2152890140 is an apocalyptic number.

152890140 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 152890140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237984768).

152890140 is an abundant number, since it is smaller than the sum of its proper divisors (323079396).

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

152890140 is a wasteful number, since it uses less digits than its factorization.

152890140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 152890140 is about 12364.8752521002. The cubic root of 152890140 is about 534.7200794962.

The spelling of 152890140 in words is "one hundred fifty-two million, eight hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 6323 8060 12090 12646 18969 24180 25292 31615 37938 63230 75876 82199 94845 126460 164398 189690 196013 246597 328796 379380 392026 410995 493194 588039 784052 821990 980065 986388 1176078 1232985 1643980 1960130 2352156 2465970 2548169 2940195 3920260 4931940 5096338 5880390 7644507 10192676 11760780 12740845 15289014 25481690 30578028 38222535 50963380 76445070 152890140