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1925696640 = 27357143281
BaseRepresentation
bin111001011000111…
…1100110010000000
311222012112112011210
41302301330302000
512420434243030
6515030210120
765502102630
oct16261746200
94865475153
101925696640
118a900742a
12458ab3940
13248c5cb8a
14143a766c0
15b40d6bb0
hex72c7cc80

1925696640 has 128 divisors (see below), whose sum is σ = 7015086720. Its totient is φ = 440156160.

The previous prime is 1925696629. The next prime is 1925696677. The reversal of 1925696640 is 466965291.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1925696640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58201 + ... + 85080.

It is an arithmetic number, because the mean of its divisors is an integer number (54805365).

Almost surely, 21925696640 is an apocalyptic number.

1925696640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1925696640 is an abundant number, since it is smaller than the sum of its proper divisors (5089390080).

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

1925696640 is a wasteful number, since it uses less digits than its factorization.

1925696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143310 (or 143298 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 1925696640 is about 43882.7601684306. The cubic root of 1925696640 is about 1244.1210098611.

The spelling of 1925696640 in words is "one billion, nine hundred twenty-five million, six hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 143281 286562 429843 573124 716405 859686 1002967 1146248 1432810 1719372 2005934 2149215 2292496 2865620 3008901 3438744 4011868 4298430 4584992 5014835 5731240 6017802 6877488 8023736 8596860 9169984 10029670 11462480 12035604 13754976 15044505 16047472 17193720 18339968 20059340 22924960 24071208 27509952 30089010 32094944 34387440 40118680 45849920 48142416 55019904 60178020 64189888 68774880 80237360 91699840 96284832 120356040 128379776 137549760 160474720 192569664 240712080 275099520 320949440 385139328 481424160 641898880 962848320 1925696640