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206611104 = 25371312347
BaseRepresentation
bin11000101000010…
…10001010100000
3112101202221011010
430110022022200
5410343023404
632300220520
75056110510
oct1424121240
9471687133
10206611104
11a6698a87
125923a740
1333a604bb
141d623840
1513213189
hexc50a2a0

206611104 has 96 divisors (see below), whose sum is σ = 624830976. Its totient is φ = 58556160.

The previous prime is 206611079. The next prime is 206611117. The reversal of 206611104 is 401116602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86859 + ... + 89205.

It is an arithmetic number, because the mean of its divisors is an integer number (6508656).

Almost surely, 2206611104 is an apocalyptic number.

206611104 is a gapful number since it is divisible by the number (24) 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 206611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312415488).

206611104 is an abundant number, since it is smaller than the sum of its proper divisors (418219872).

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

206611104 is a wasteful number, since it uses less digits than its factorization.

206611104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 206611104 is about 14373.9731459329. The cubic root of 206611104 is about 591.1774856947.

Adding to 206611104 its reverse (401116602), we get a palindrome (607727706).

The spelling of 206611104 in words is "two hundred six million, six hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 168 224 262 336 393 524 672 786 917 1048 1572 1834 2096 2347 2751 3144 3668 4192 4694 5502 6288 7041 7336 9388 11004 12576 14082 14672 16429 18776 22008 28164 29344 32858 37552 44016 49287 56328 65716 75104 88032 98574 112656 131432 197148 225312 262864 307457 394296 525728 614914 788592 922371 1229828 1577184 1844742 2152199 2459656 3689484 4304398 4919312 6456597 7378968 8608796 9838624 12913194 14757936 17217592 25826388 29515872 34435184 51652776 68870368 103305552 206611104