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10007678940 = 2235723827807
BaseRepresentation
bin10010101001000000…
…10000111111011100
3221211110012202122120
421110200100333130
5130443431211230
64333015142540
7502666603350
oct112440207734
927743182576
1010007678940
11427608a346
121b33674a50
13c3647871c
146ad1a1460
153d88c8310
hex254810fdc

10007678940 has 48 divisors (see below), whose sum is σ = 32024573952. Its totient is φ = 2287469376.

The previous prime is 10007678939. The next prime is 10007678951. The reversal of 10007678940 is 4987670001.

It is a super-2 number, since 2×100076789402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10007678892 and 10007678901.

It is a congruent number.

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, 11913484 + ... + 11914323.

It is an arithmetic number, because the mean of its divisors is an integer number (667178624).

Almost surely, 210007678940 is an apocalyptic number.

10007678940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10007678940 is an abundant number, since it is smaller than the sum of its proper divisors (22016895012).

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

10007678940 is a wasteful number, since it uses less digits than its factorization.

10007678940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23827826 (or 23827824 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 10007678940 in words is "ten billion, seven million, six hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 23827807 47655614 71483421 95311228 119139035 142966842 166794649 238278070 285933684 333589298 357417105 476556140 500383947 667178596 714834210 833973245 1000767894 1429668420 1667946490 2001535788 2501919735 3335892980 5003839470 10007678940