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1040168640 = 26357154787
BaseRepresentation
bin111101111111111…
…011011011000000
32200111021001010110
4331333323123000
54112240344030
6251114231320
734530200430
oct7577733300
92614231113
101040168640
1149416a105
12250425540
13137662704
149c2062c0
15614b81b0
hex3dffb6c0

1040168640 has 112 divisors (see below), whose sum is σ = 3774350592. Its totient is φ = 237751296.

The previous prime is 1040168627. The next prime is 1040168651. The reversal of 1040168640 is 468610401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1040168598 and 1040168607.

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, 70674 + ... + 84113.

Almost surely, 21040168640 is an apocalyptic number.

1040168640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040168640 is an abundant number, since it is smaller than the sum of its proper divisors (2734181952).

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

1040168640 is a wasteful number, since it uses less digits than its factorization.

1040168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154814 (or 154804 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1040168640 is about 32251.6455394140. The cubic root of 1040168640 is about 1013.2141634252.

The spelling of 1040168640 in words is "one billion, forty million, one hundred sixty-eight 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 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 154787 309574 464361 619148 773935 928722 1083509 1238296 1547870 1857444 2167018 2321805 2476592 3095740 3250527 3714888 4334036 4643610 4953184 5417545 6191480 6501054 7429776 8668072 9287220 9906368 10835090 12382960 13002108 14859552 16252635 17336144 18574440 21670180 24765920 26004216 29719104 32505270 34672288 37148880 43340360 49531840 52008432 65010540 69344576 74297760 86680720 104016864 130021080 148595520 173361440 208033728 260042160 346722880 520084320 1040168640