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102184192 = 2811131277
BaseRepresentation
bin1100001011100…
…11010100000000
321010021111100201
412011303110000
5202124343232
614050054544
72350360045
oct605632400
9233244321
10102184192
1152753550
122a27a454
1318229a26
14d7dd1cc
158e86be7
hex6173500

102184192 has 72 divisors (see below), whose sum is σ = 225019872. Its totient is φ = 45926400.

The previous prime is 102184189. The next prime is 102184219. The reversal of 102184192 is 291481201.

It is a self number, because there is not a number n which added to its sum of digits gives 102184192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368758 + ... + 369034.

It is an arithmetic number, because the mean of its divisors is an integer number (3125276).

Almost surely, 2102184192 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 102184192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112509936).

102184192 is an abundant number, since it is smaller than the sum of its proper divisors (122835680).

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

102184192 is a wasteful number, since it uses less digits than its factorization.

102184192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 102184192 is about 10108.6196881671. The cubic root of 102184192 is about 467.5139473662.

The spelling of 102184192 in words is "one hundred two million, one hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 256 262 277 352 524 554 704 1048 1108 1408 1441 2096 2216 2816 2882 3047 4192 4432 5764 6094 8384 8864 11528 12188 16768 17728 23056 24376 33536 35456 36287 46112 48752 70912 72574 92224 97504 145148 184448 195008 290296 368896 390016 399157 580592 780032 798314 1161184 1596628 2322368 3193256 4644736 6386512 9289472 12773024 25546048 51092096 102184192