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4099640 = 235113907
BaseRepresentation
bin1111101000111000111000
321201021122112
433220320320
52022142030
6223511452
746563206
oct17507070
97637575
104099640
112350136
121458588
13b0702c
1478a076
1555ea95
hex3e8e38

4099640 has 32 divisors (see below), whose sum is σ = 9316080. Its totient is φ = 1623552.

The previous prime is 4099621. The next prime is 4099661. The reversal of 4099640 is 469904.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4099597 and 4099606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4067 + ... + 4973.

Almost surely, 24099640 is an apocalyptic number.

4099640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4099640 is an abundant number, since it is smaller than the sum of its proper divisors (5216440).

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

4099640 is a wasteful number, since it uses less digits than its factorization.

4099640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 4099640 is about 2024.7567755165. The cubic root of 4099640 is about 160.0473818005.

The spelling of 4099640 in words is "four million, ninety-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 907 1130 1814 2260 3628 4520 4535 7256 9070 18140 36280 102491 204982 409964 512455 819928 1024910 2049820 4099640