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7985640 = 2335135119
BaseRepresentation
bin11110011101100111101000
3120000201020110
4132131213220
54021020030
6443054320
7124606515
oct36354750
916021213
107985640
114564803
1228113a0
131867a40
1410bc30c
15a7b1b0
hex79d9e8

7985640 has 64 divisors (see below), whose sum is σ = 25804800. Its totient is φ = 1965312.

The previous prime is 7985617. The next prime is 7985641. The reversal of 7985640 is 465897.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7985641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 4119.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 27985640 is an apocalyptic number.

It is an amenable number.

7985640 is an abundant number, since it is smaller than the sum of its proper divisors (17819160).

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

7985640 is a wasteful number, since it uses less digits than its factorization.

7985640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 7985640 is about 2825.8874712203. The cubic root of 7985640 is about 199.8802616613.

The spelling of 7985640 in words is "seven million, nine hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 5119 10238 15357 20476 25595 30714 40952 51190 61428 66547 76785 102380 122856 133094 153570 199641 204760 266188 307140 332735 399282 532376 614280 665470 798564 998205 1330940 1597128 1996410 2661880 3992820 7985640