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204107136 = 2731992671
BaseRepresentation
bin11000010101001…
…10110110000000
3112020001201100120
430022212312000
5404222412021
632130420240
75025611352
oct1412466600
9466051316
10204107136
11a5238792
1258431680
133339486c
141d1710d2
1512dbb2c6
hexc2a6d80

204107136 has 64 divisors (see below), whose sum is σ = 545088000. Its totient is φ = 67668480.

The previous prime is 204107119. The next prime is 204107147. The reversal of 204107136 is 631701402.

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

It is a super-2 number, since 2×2041071362 = 83319445932244992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75081 + ... + 77751.

It is an arithmetic number, because the mean of its divisors is an integer number (8517000).

Almost surely, 2204107136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272544000).

204107136 is an abundant number, since it is smaller than the sum of its proper divisors (340980864).

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

204107136 is a wasteful number, since it uses less digits than its factorization.

204107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 204107136 is about 14286.6068749721. The cubic root of 204107136 is about 588.7795666743.

Adding to 204107136 its reverse (631701402), we get a palindrome (835808538).

The spelling of 204107136 in words is "two hundred four million, one hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 597 796 1194 1592 2388 2671 3184 4776 5342 6368 8013 9552 10684 12736 16026 19104 21368 25472 32052 38208 42736 64104 76416 85472 128208 170944 256416 341888 512832 531529 1025664 1063058 1594587 2126116 3189174 4252232 6378348 8504464 12756696 17008928 25513392 34017856 51026784 68035712 102053568 204107136