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102424680 = 233251072659
BaseRepresentation
bin1100001101011…
…10000001101000
321010201201020200
412012232001220
5202210042210
614055152200
72352411141
oct606560150
9233651220
10102424680
11528a81a6
122a375660
13182b2327
14d862ac8
158ed30c0
hex61ae068

102424680 has 96 divisors (see below), whose sum is σ = 336117600. Its totient is φ = 27047808.

The previous prime is 102424657. The next prime is 102424733. The reversal of 102424680 is 86424201.

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 23 ways as a sum of consecutive naturals, for example, 37191 + ... + 39849.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2102424680 is an apocalyptic number.

102424680 is a gapful number since it is divisible by the number (10) 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 102424680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

102424680 is an abundant number, since it is smaller than the sum of its proper divisors (233692920).

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

102424680 is a wasteful number, since it uses less digits than its factorization.

102424680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 102424680 is about 10120.5078923935. The cubic root of 102424680 is about 467.8804209062.

Adding to 102424680 its reverse (86424201), we get a palindrome (188848881).

The spelling of 102424680 in words is "one hundred two million, four hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1926 2140 2568 2659 3210 3852 4280 4815 5318 6420 7704 7977 9630 10636 12840 13295 15954 19260 21272 23931 26590 31908 38520 39885 47862 53180 63816 79770 95724 106360 119655 159540 191448 239310 284513 319080 478620 569026 853539 957240 1138052 1422565 1707078 2276104 2560617 2845130 3414156 4267695 5121234 5690260 6828312 8535390 10242468 11380520 12803085 17070780 20484936 25606170 34141560 51212340 102424680