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158130624 = 2631316287
BaseRepresentation
bin10010110110011…
…10000111000000
3102000112212102210
421123032013000
5310440134444
623405142120
73630042141
oct1133160700
9360485383
10158130624
1181295973
1244b5a940
13269b7922
1417003ac8
15dd387b9
hex96ce1c0

158130624 has 56 divisors (see below), whose sum is σ = 421648128. Its totient is φ = 52299520.

The previous prime is 158130613. The next prime is 158130667. The reversal of 158130624 is 426031851.

158130624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 125752-1.

It is a junction number, because it is equal to n+sod(n) for n = 158130591 and 158130600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22009 + ... + 28295.

Almost surely, 2158130624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210824064).

158130624 is an abundant number, since it is smaller than the sum of its proper divisors (263517504).

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

158130624 is a wasteful number, since it uses less digits than its factorization.

158130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6433 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 158130624 is about 12574.9999602386. Note that the first 4 decimals coincide. The cubic root of 158130624 is about 540.7609573485.

The spelling of 158130624 in words is "one hundred fifty-eight million, one hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6287 6288 8384 12574 12576 18861 25148 25152 37722 50296 75444 100592 150888 201184 301776 402368 603552 823597 1207104 1647194 2470791 3294388 4941582 6588776 9883164 13177552 19766328 26355104 39532656 52710208 79065312 158130624