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993125640 = 233513636619
BaseRepresentation
bin111011001100011…
…110010100001000
32120012202000021010
4323030132110020
54013220010030
6242314043520
733416300013
oct7314362410
92505660233
10993125640
1146a658aa1
122387195a0
1312a9a1210
1495c7c37a
155c2c46b0
hex3b31e508

993125640 has 64 divisors (see below), whose sum is σ = 3208564800. Its totient is φ = 244461312.

The previous prime is 993125629. The next prime is 993125647. The reversal of 993125640 is 46521399.

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 (993125647) 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, 316750 + ... + 319869.

It is an arithmetic number, because the mean of its divisors is an integer number (50133825).

Almost surely, 2993125640 is an apocalyptic number.

It is an amenable number.

993125640 is an abundant number, since it is smaller than the sum of its proper divisors (2215439160).

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

993125640 is a wasteful number, since it uses less digits than its factorization.

993125640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636646 (or 636642 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 993125640 is about 31513.8959825662. The cubic root of 993125640 is about 997.7032757628.

The spelling of 993125640 in words is "nine hundred ninety-three million, one hundred twenty-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 636619 1273238 1909857 2546476 3183095 3819714 5092952 6366190 7639428 8276047 9549285 12732380 15278856 16552094 19098570 24828141 25464760 33104188 38197140 41380235 49656282 66208376 76394280 82760470 99312564 124140705 165520940 198625128 248281410 331041880 496562820 993125640