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189361640 = 235131731691
BaseRepresentation
bin10110100100101…
…10110111101000
3111012022120100002
423102112313220
5341434033030
630442402132
74456355516
oct1322266750
9435276302
10189361640
1197987226
1253500348
1330301010
141b2134b6
1511957245
hexb496de8

189361640 has 128 divisors (see below), whose sum is σ = 502225920. Its totient is φ = 63590400.

The previous prime is 189361559. The next prime is 189361681. The reversal of 189361640 is 46163981.

It is a junction number, because it is equal to n+sod(n) for n = 189361594 and 189361603.

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, 273695 + ... + 274385.

It is an arithmetic number, because the mean of its divisors is an integer number (3923640).

Almost surely, 2189361640 is an apocalyptic number.

189361640 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 189361640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251112960).

189361640 is an abundant number, since it is smaller than the sum of its proper divisors (312864280).

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

189361640 is a wasteful number, since it uses less digits than its factorization.

189361640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 189361640 is about 13760.8735187851. The cubic root of 189361640 is about 574.2451493646.

The spelling of 189361640 in words is "one hundred eighty-nine million, three hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 31 34 40 52 62 65 68 85 104 124 130 136 155 170 221 248 260 310 340 403 442 520 527 620 680 691 806 884 1054 1105 1240 1382 1612 1768 2015 2108 2210 2635 2764 3224 3455 4030 4216 4420 5270 5528 6851 6910 8060 8840 8983 10540 11747 13702 13820 16120 17966 21080 21421 23494 27404 27640 34255 35932 42842 44915 46988 54808 58735 68510 71864 85684 89830 93976 107105 117470 137020 152711 171368 179660 214210 234940 274040 278473 305422 359320 364157 428420 469880 556946 610844 728314 763555 856840 1113892 1221688 1392365 1456628 1527110 1820785 2227784 2784730 2913256 3054220 3641570 4734041 5569460 6108440 7283140 9468082 11138920 14566280 18936164 23670205 37872328 47340410 94680820 189361640