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190968120 = 23325775781
BaseRepresentation
bin10110110000111…
…11000100111000
3111022100012000100
423120133010320
5342341434440
630541035400
74506126240
oct1330370470
9438305010
10190968120
11988841a2
1253b55b60
13307442b5
141b510b20
1511b73230
hexb61f138

190968120 has 96 divisors (see below), whose sum is σ = 709319520. Its totient is φ = 43649280.

The previous prime is 190968059. The next prime is 190968163. The reversal of 190968120 is 21869091.

190968120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 35371 + ... + 40410.

It is an arithmetic number, because the mean of its divisors is an integer number (7388745).

Almost surely, 2190968120 is an apocalyptic number.

190968120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190968120 is an abundant number, since it is smaller than the sum of its proper divisors (518351400).

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

190968120 is a wasteful number, since it uses less digits than its factorization.

190968120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75805 (or 75798 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 190968120 is about 13819.1215350325. The cubic root of 190968120 is about 575.8644791126.

The spelling of 190968120 in words is "one hundred ninety million, nine hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 75781 151562 227343 303124 378905 454686 530467 606248 682029 757810 909372 1060934 1136715 1364058 1515620 1591401 1818744 2121868 2273430 2652335 2728116 3031240 3182802 3410145 4243736 4546860 4774203 5304670 5456232 6365604 6820290 7957005 9093720 9548406 10609340 12731208 13640580 15914010 19096812 21218680 23871015 27281160 31828020 38193624 47742030 63656040 95484060 190968120