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102350430 = 232571312497
BaseRepresentation
bin1100001100110…
…11111001011110
321010120221101200
412012123321132
5202200203210
614053420330
72351651520
oct606337136
9233527350
10102350430
1152857436
122a33a6a6
13182875b0
14d843a10
158ebb0c0
hex619be5e

102350430 has 96 divisors (see below), whose sum is σ = 327547584. Its totient is φ = 21593088.

The previous prime is 102350419. The next prime is 102350447. The reversal of 102350430 is 34053201.

102350430 is a `hidden beast` number, since 1 + 0 + 235 + 0 + 430 = 666.

It is a super-2 number, since 2×1023504302 = 20951221042369800, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1942 + ... + 14438.

It is an arithmetic number, because the mean of its divisors is an integer number (3411954).

Almost surely, 2102350430 is an apocalyptic number.

102350430 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 102350430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163773792).

102350430 is an abundant number, since it is smaller than the sum of its proper divisors (225197154).

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

102350430 is a wasteful number, since it uses less digits than its factorization.

102350430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 102350430 is about 10116.8389331846. The cubic root of 102350430 is about 467.7673344923.

The spelling of 102350430 in words is "one hundred two million, three hundred fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 12497 24994 37491 62485 74982 87479 112473 124970 162461 174958 187455 224946 262437 324922 374910 437395 487383 524874 562365 787311 812305 874790 974766 1124730 1137227 1312185 1462149 1574622 1624610 2274454 2436915 2624370 2924298 3411681 3936555 4873830 5686135 6823362 7310745 7873110 10235043 11372270 14621490 17058405 20470086 34116810 51175215 102350430