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204113040 = 243523103359
BaseRepresentation
bin11000010101010…
…00010010010000
3112020002000110020
430022220102100
5404223104130
632130503440
75025634515
oct1412502220
9466060406
10204113040
11a524216a
1258434b80
1333397461
141d17330c
1512dbce10
hexc2a8490

204113040 has 160 divisors (see below), whose sum is σ = 668528640. Its totient is φ = 51414528.

The previous prime is 204113027. The next prime is 204113051. The reversal of 204113040 is 40311402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568381 + ... + 568739.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2204113040 is an apocalyptic number.

204113040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334264320).

204113040 is an abundant number, since it is smaller than the sum of its proper divisors (464415600).

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

204113040 is a wasteful number, since it uses less digits than its factorization.

204113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204113040 is about 14286.8135005676. The cubic root of 204113040 is about 588.7852436293.

Adding to 204113040 its reverse (40311402), we get a palindrome (244424442).

The spelling of 204113040 in words is "two hundred four million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 103 115 120 138 184 206 230 240 276 309 345 359 368 412 460 515 552 618 690 718 824 920 1030 1077 1104 1236 1380 1436 1545 1648 1795 1840 2060 2154 2369 2472 2760 2872 3090 3590 4120 4308 4738 4944 5385 5520 5744 6180 7107 7180 8240 8257 8616 9476 10770 11845 12360 14214 14360 16514 17232 18952 21540 23690 24720 24771 28428 28720 33028 35535 36977 37904 41285 43080 47380 49542 56856 66056 71070 73954 82570 86160 94760 99084 110931 113712 123855 132112 142140 147908 165140 184885 189520 198168 221862 247710 284280 295816 330280 369770 396336 443724 495420 554655 568560 591632 660560 739540 850471 887448 990840 1109310 1479080 1700942 1774896 1981680 2218620 2551413 2958160 3401884 4252355 4437240 5102826 6803768 8504710 8874480 10205652 12757065 13607536 17009420 20411304 25514130 34018840 40822608 51028260 68037680 102056520 204113040