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3130629090 = 235597324229
BaseRepresentation
bin1011101010011001…
…1001101111100010
322002011211102202120
42322212121233202
522402420112330
61234352125110
7140402623341
oct27246315742
98064742676
103130629090
111367181a76
12734536796
133ab790464
14219acbb58
15134c98c10
hexba999be2

3130629090 has 64 divisors (see below), whose sum is σ = 7745846400. Its totient is φ = 809409024.

The previous prime is 3130629053. The next prime is 3130629133. The reversal of 3130629090 is 909260313.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117096 + ... + 141324.

It is an arithmetic number, because the mean of its divisors is an integer number (121028850).

Almost surely, 23130629090 is an apocalyptic number.

3130629090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130629090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872923200).

3130629090 is an abundant number, since it is smaller than the sum of its proper divisors (4615217310).

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

3130629090 is a wasteful number, since it uses less digits than its factorization.

3130629090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24371.

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 3130629090 is about 55952.0248963342. The cubic root of 3130629090 is about 1462.8861856916.

The spelling of 3130629090 in words is "three billion, one hundred thirty million, six hundred twenty-nine thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 59 73 118 146 177 219 295 354 365 438 590 730 885 1095 1770 2190 4307 8614 12921 21535 24229 25842 43070 48458 64605 72687 121145 129210 145374 242290 363435 726870 1429511 1768717 2859022 3537434 4288533 5306151 7147555 8577066 8843585 10612302 14295110 17687170 21442665 26530755 42885330 53061510 104354303 208708606 313062909 521771515 626125818 1043543030 1565314545 3130629090