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102168450 = 23252297829
BaseRepresentation
bin1100001011011…
…11011110000010
321010020200202200
412011233132002
5202123342300
614045454030
72350263126
oct605573602
9233220680
10102168450
115274273a
122a271316
1318222807
14d7d7586
158e82200
hex616f782

102168450 has 72 divisors (see below), whose sum is σ = 283994100. Its totient is φ = 26302080.

The previous prime is 102168439. The next prime is 102168463. The reversal of 102168450 is 54861201.

It can be written as a sum of positive squares in 6 ways, for example, as 19158129 + 83010321 = 4377^2 + 9111^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9136 + ... + 16964.

Almost surely, 2102168450 is an apocalyptic number.

102168450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102168450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141997050).

102168450 is an abundant number, since it is smaller than the sum of its proper divisors (181825650).

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

102168450 is a wasteful number, since it uses less digits than its factorization.

102168450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7876 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 102168450 is about 10107.8410157659. The cubic root of 102168450 is about 467.4899384911.

The spelling of 102168450 in words is "one hundred two million, one hundred sixty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 7829 13050 15658 23487 39145 46974 70461 78290 117435 140922 195725 227041 234870 352305 391450 454082 587175 681123 704610 1135205 1174350 1362246 1761525 2043369 2270410 3405615 3523050 4086738 5676025 6811230 10216845 11352050 17028075 20433690 34056150 51084225 102168450