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204371840 = 2753110301
BaseRepresentation
bin11000010111001…
…11011110000000
3112020120011110102
430023213132000
5404304344330
632140221532
75031063161
oct1413473600
9466504412
10204371840
11a53a9652
125853a8a8
13334581aa
141d1dd768
1512e1e945
hexc2e7780

204371840 has 64 divisors (see below), whose sum is σ = 504385920. Its totient is φ = 79104000.

The previous prime is 204371837. The next prime is 204371863. The reversal of 204371840 is 48173402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14690 + ... + 24990.

It is an arithmetic number, because the mean of its divisors is an integer number (7881030).

Almost surely, 2204371840 is an apocalyptic number.

204371840 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 204371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252192960).

204371840 is an abundant number, since it is smaller than the sum of its proper divisors (300014080).

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

204371840 is a wasteful number, since it uses less digits than its factorization.

204371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10351 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 204371840 is about 14295.8679344767. The cubic root of 204371840 is about 589.0339836824.

The spelling of 204371840 in words is "two hundred four million, three hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 10301 19840 20602 41204 51505 82408 103010 164816 206020 319331 329632 412040 638662 659264 824080 1277324 1318528 1596655 1648160 2554648 3193310 3296320 5109296 6386620 6592640 10218592 12773240 20437184 25546480 40874368 51092960 102185920 204371840