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102426324 = 223711138527
BaseRepresentation
bin1100001101011…
…10011011010100
321010201210111120
412012232123110
5202210120244
614055203540
72352416010
oct606563324
9233653446
10102426324
11528a9460
122a3765b0
13182b2cc0
14d863540
158ed3819
hex61ae6d4

102426324 has 96 divisors (see below), whose sum is σ = 320925696. Its totient is φ = 24554880.

The previous prime is 102426299. The next prime is 102426341. The reversal of 102426324 is 423624201.

It is a junction number, because it is equal to n+sod(n) for n = 102426294 and 102426303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7749 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (3342976).

Almost surely, 2102426324 is an apocalyptic number.

102426324 is a gapful number since it is divisible by the number (14) 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 102426324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160462848).

102426324 is an abundant number, since it is smaller than the sum of its proper divisors (218499372).

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

102426324 is a wasteful number, since it uses less digits than its factorization.

102426324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 102426324 is about 10120.5891132878. The cubic root of 102426324 is about 467.8829241808.

It can be divided in two parts, 102 and 426324, that added together give a triangular number (426426 = T923).

The spelling of 102426324 in words is "one hundred two million, four hundred twenty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 8527 12012 17054 25581 34108 51162 59689 93797 102324 110851 119378 179067 187594 221702 238756 281391 332553 358134 375188 443404 562782 656579 665106 716268 775957 1125564 1219361 1313158 1330212 1551914 1969737 2327871 2438722 2626316 3103828 3658083 3939474 4655742 4877444 7316166 7878948 8535527 9311484 14632332 17071054 25606581 34142108 51213162 102426324