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158087120 = 2452968141
BaseRepresentation
bin10010110110000…
…11011111010000
3102000110122202112
421123003133100
5310432241440
623404204452
73626501252
oct1133033720
9360418675
10158087120
1181266214
1244b39728
13269a0b99
1416dd1cd2
15dd2a965
hex96c37d0

158087120 has 40 divisors (see below), whose sum is σ = 380232360. Its totient is φ = 61053440.

The previous prime is 158087117. The next prime is 158087129. The reversal of 158087120 is 21780851.

It is a happy number.

158087120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 132496 + 157954624 = 364^2 + 12568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158087129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31751 + ... + 36390.

It is an arithmetic number, because the mean of its divisors is an integer number (9505809).

Almost surely, 2158087120 is an apocalyptic number.

158087120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

158087120 is an abundant number, since it is smaller than the sum of its proper divisors (222145240).

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

158087120 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (158087119) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (68177).

158087120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68183 (or 68177 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 158087120 is about 12573.2700599327. The cubic root of 158087120 is about 540.7113624381.

The spelling of 158087120 in words is "one hundred fifty-eight million, eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 68141 136282 272564 340705 545128 681410 1090256 1362820 1976089 2725640 3952178 5451280 7904356 9880445 15808712 19760890 31617424 39521780 79043560 158087120