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152068980 = 22357362069
BaseRepresentation
bin10010001000001…
…10001101110100
3101121010220102110
421010012031310
5302412201410
623031211020
73524364540
oct1104061564
9347126373
10152068980
1178925748
1242b16a70
132567485b
14162a6a20
15d53c720
hex9106374

152068980 has 48 divisors (see below), whose sum is σ = 486622080. Its totient is φ = 34758528.

The previous prime is 152068979. The next prime is 152068993. The reversal of 152068980 is 89860251.

It is a congruent number.

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, 180615 + ... + 181454.

It is an arithmetic number, because the mean of its divisors is an integer number (10137960).

Almost surely, 2152068980 is an apocalyptic number.

152068980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152068980 is an abundant number, since it is smaller than the sum of its proper divisors (334553100).

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

152068980 is a wasteful number, since it uses less digits than its factorization.

152068980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362088 (or 362086 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 152068980 is about 12331.6251970290. The cubic root of 152068980 is about 533.7610483885.

It can be divided in two parts, 1520 and 68980, that added together give a triangular number (70500 = T375).

The spelling of 152068980 in words is "one hundred fifty-two million, sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 362069 724138 1086207 1448276 1810345 2172414 2534483 3620690 4344828 5068966 5431035 7241380 7603449 10137932 10862070 12672415 15206898 21724140 25344830 30413796 38017245 50689660 76034490 152068980