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190120680 = 233253671439
BaseRepresentation
bin10110101010100…
…00001011101000
3111020202010112200
423111100023220
5342132330210
630510540200
74465666461
oct1325201350
9436663480
10190120680
1198355532
1253807660
1330508659
141b36dd68
1511a570c0
hexb5502e8

190120680 has 96 divisors (see below), whose sum is σ = 620006400. Its totient is φ = 50525568.

The previous prime is 190120589. The next prime is 190120709. The reversal of 190120680 is 86021091.

It is a super-2 number, since 2×1901206802 = 72291745927324800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131401 + ... + 132839.

It is an arithmetic number, because the mean of its divisors is an integer number (6458400).

Almost surely, 2190120680 is an apocalyptic number.

190120680 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 190120680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310003200).

190120680 is an abundant number, since it is smaller than the sum of its proper divisors (429885720).

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

190120680 is a wasteful number, since it uses less digits than its factorization.

190120680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 190120680 is about 13788.4255808994. The cubic root of 190120680 is about 575.0113973796.

The spelling of 190120680 in words is "one hundred ninety million, one hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 367 734 1101 1439 1468 1835 2202 2878 2936 3303 3670 4317 4404 5505 5756 6606 7195 7340 8634 8808 11010 11512 12951 13212 14390 14680 16515 17268 21585 22020 25902 26424 28780 33030 34536 43170 44040 51804 57560 64755 66060 86340 103608 129510 132120 172680 259020 518040 528113 1056226 1584339 2112452 2640565 3168678 4224904 4753017 5281130 6337356 7921695 9506034 10562260 12674712 15843390 19012068 21124520 23765085 31686780 38024136 47530170 63373560 95060340 190120680