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199304640 = 2632569203
BaseRepresentation
bin10111110000100…
…10010111000000
3111220000201120100
423320102113000
5402010222030
631435442400
74640030043
oct1370222700
9456021510
10199304640
11a2558587
12568b6400
13323a2952
141c680c5a
151276d360
hexbe125c0

199304640 has 84 divisors (see below), whose sum is σ = 685534824. Its totient is φ = 53147136.

The previous prime is 199304627. The next prime is 199304653. The reversal of 199304640 is 46403991.

199304640 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 0 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (199304627) and next prime (199304653).

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

It is a junction number, because it is equal to n+sod(n) for n = 199304595 and 199304604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31722 + ... + 37481.

Almost surely, 2199304640 is an apocalyptic number.

199304640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199304640 is an abundant number, since it is smaller than the sum of its proper divisors (486230184).

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

199304640 is a wasteful number, since it uses less digits than its factorization.

199304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69226 (or 69213 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 199304640 is about 14117.5295289225. The cubic root of 199304640 is about 584.1250123319.

The spelling of 199304640 in words is "one hundred ninety-nine million, three hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 69203 138406 207609 276812 346015 415218 553624 622827 692030 830436 1038045 1107248 1245654 1384060 1660872 2076090 2214496 2491308 2768120 3114135 3321744 4152180 4428992 4982616 5536240 6228270 6643488 8304360 9965232 11072480 12456540 13286976 16608720 19930464 22144960 24913080 33217440 39860928 49826160 66434880 99652320 199304640