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102054450 = 23522329581
BaseRepresentation
bin1100001010100…
…11101000110010
321010000220101110
412011103220302
5202111220300
614043214150
72346306561
oct605235062
9233026343
10102054450
1152675023
122a217356
13181b2964
14d7a7bd8
158e5d550
hex6153a32

102054450 has 48 divisors (see below), whose sum is σ = 264108096. Its totient is φ = 26030400.

The previous prime is 102054439. The next prime is 102054457. The reversal of 102054450 is 54450201.

It is a super-2 number, since 2×1020544502 = 20830221529605000, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102054457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11341 + ... + 18240.

It is an arithmetic number, because the mean of its divisors is an integer number (5502252).

Almost surely, 2102054450 is an apocalyptic number.

102054450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102054450 is an abundant number, since it is smaller than the sum of its proper divisors (162053646).

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

102054450 is a wasteful number, since it uses less digits than its factorization.

102054450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29619 (or 29614 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 102054450 is about 10102.2002553899. The cubic root of 102054450 is about 467.3159980130.

The spelling of 102054450 in words is "one hundred two million, fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 3450 29581 59162 88743 147905 177486 295810 443715 680363 739525 887430 1360726 1479050 2041089 2218575 3401815 4082178 4437150 6803630 10205445 17009075 20410890 34018150 51027225 102054450