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204206640 = 24351177351
BaseRepresentation
bin11000010101111…
…11001000110000
3112020020202211220
430022333020300
5404234103030
632132505040
75026504431
oct1412771060
9466222756
10204206640
11a52a6520
125847b180
13333cac41
141d199488
1512ddaa10
hexc2bf230

204206640 has 80 divisors (see below), whose sum is σ = 690598656. Its totient is φ = 49504000.

The previous prime is 204206593. The next prime is 204206657. The reversal of 204206640 is 46602402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204206640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36036 + ... + 41315.

Almost surely, 2204206640 is an apocalyptic number.

204206640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204206640 is an abundant number, since it is smaller than the sum of its proper divisors (486392016).

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

204206640 is a wasteful number, since it uses less digits than its factorization.

204206640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77378 (or 77372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 204206640 is about 14290.0888730616. The cubic root of 204206640 is about 588.8752295132.

The spelling of 204206640 in words is "two hundred four million, two hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 77351 154702 232053 309404 386755 464106 618808 773510 850861 928212 1160265 1237616 1547020 1701722 1856424 2320530 2552583 3094040 3403444 3712848 4254305 4641060 5105166 6188080 6806888 8508610 9282120 10210332 12762915 13613776 17017220 18564240 20420664 25525830 34034440 40841328 51051660 68068880 102103320 204206640