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102161430 = 23257315231
BaseRepresentation
bin1100001011011…
…01110000010110
321010020100010200
412011231300112
5202123131210
614045401330
72350233510
oct605556026
9233210120
10102161430
1152738438
122a269246
131821c567
14d7d4bb0
158e800c0
hex616dc16

102161430 has 96 divisors (see below), whose sum is σ = 313417728. Its totient is φ = 22593600.

The previous prime is 102161407. The next prime is 102161443. The reversal of 102161430 is 34161201.

It is a happy number.

102161430 is a `hidden beast` number, since 1 + 0 + 21 + 614 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16915 + ... + 22145.

It is an arithmetic number, because the mean of its divisors is an integer number (3264768).

Almost surely, 2102161430 is an apocalyptic number.

102161430 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 102161430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156708864).

102161430 is an abundant number, since it is smaller than the sum of its proper divisors (211256298).

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

102161430 is a wasteful number, since it uses less digits than its factorization.

102161430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102161430 is about 10107.4937546357. The cubic root of 102161430 is about 467.4792311591.

The spelling of 102161430 in words is "one hundred two million, one hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 5231 6510 9765 10462 15693 19530 26155 31386 36617 47079 52310 73234 78465 94158 109851 156930 162161 183085 219702 235395 324322 329553 366170 470790 486483 549255 659106 810805 972966 1098510 1135127 1459449 1621610 1647765 2270254 2432415 2918898 3295530 3405381 4864830 5675635 6810762 7297245 10216143 11351270 14594490 17026905 20432286 34053810 51080715 102161430