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190061640 = 2334558661
BaseRepresentation
bin10110101010000…
…01110001001000
3111020122010120000
423111001301020
5342123433030
630505403000
74465332366
oct1325016110
9436563500
10190061640
119831513a
1253799460
13304b7812
141b356636
1511a44860
hexb541c48

190061640 has 80 divisors (see below), whose sum is σ = 638829180. Its totient is φ = 50682240.

The previous prime is 190061633. The next prime is 190061659. The reversal of 190061640 is 46160091.

190061640 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 616 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171243396 + 18818244 = 13086^2 + 4338^2 .

It is a super-3 number, since 3×1900616403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26091 + ... + 32570.

Almost surely, 2190061640 is an apocalyptic number.

190061640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190061640 is an abundant number, since it is smaller than the sum of its proper divisors (448767540).

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

190061640 is a wasteful number, since it uses less digits than its factorization.

190061640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58684 (or 58671 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 190061640 is about 13786.2844885778. The cubic root of 190061640 is about 574.9518699475.

The spelling of 190061640 in words is "one hundred ninety million, sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 58661 117322 175983 234644 293305 351966 469288 527949 586610 703932 879915 1055898 1173220 1407864 1583847 1759830 2111796 2346440 2639745 3167694 3519660 4223592 4751541 5279490 6335388 7039320 7919235 9503082 10558980 12670776 15838470 19006164 21117960 23757705 31676940 38012328 47515410 63353880 95030820 190061640