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190934940 = 223571632789
BaseRepresentation
bin10110110000101…
…10111110011100
3111022021111111110
423120112332130
5342334404230
630540222020
74505630430
oct1330267634
9438244443
10190934940
1198861279
1253b3a910
1330732171
141b5029c0
1511b684b0
hexb616f9c

190934940 has 96 divisors (see below), whose sum is σ = 614960640. Its totient is φ = 43358976.

The previous prime is 190934929. The next prime is 190934957. The reversal of 190934940 is 49439091.

It is a congruent number.

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, 67066 + ... + 69854.

It is an arithmetic number, because the mean of its divisors is an integer number (6405840).

Almost surely, 2190934940 is an apocalyptic number.

190934940 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 190934940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307480320).

190934940 is an abundant number, since it is smaller than the sum of its proper divisors (424025700).

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

190934940 is a wasteful number, since it uses less digits than its factorization.

190934940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 190934940 is about 13817.9209724184. The cubic root of 190934940 is about 575.8311257443.

The spelling of 190934940 in words is "one hundred ninety million, nine hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 163 210 326 420 489 652 815 978 1141 1630 1956 2282 2445 2789 3260 3423 4564 4890 5578 5705 6846 8367 9780 11156 11410 13692 13945 16734 17115 19523 22820 27890 33468 34230 39046 41835 55780 58569 68460 78092 83670 97615 117138 167340 195230 234276 292845 390460 454607 585690 909214 1171380 1363821 1818428 2273035 2727642 3182249 4546070 5455284 6364498 6819105 9092140 9546747 12728996 13638210 15911245 19093494 27276420 31822490 38186988 47733735 63644980 95467470 190934940