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103253676 = 223191313457
BaseRepresentation
bin1100010011110…
…00011010101100
321012021211102020
412021320122230
5202413104201
614125030140
72362433061
oct611703254
9235254366
10103253676
1153314019
122a6b5350
1318512766
14d9dac68
1590e8a36
hex62786ac

103253676 has 48 divisors (see below), whose sum is σ = 255615360. Its totient is φ = 32348160.

The previous prime is 103253671. The next prime is 103253681. The reversal of 103253676 is 676352301.

It is an interprime number because it is at equal distance from previous prime (103253671) and next prime (103253681).

It is a super-2 number, since 2×1032536762 = 21322643215025952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103253671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28140 + ... + 31596.

It is an arithmetic number, because the mean of its divisors is an integer number (5325320).

Almost surely, 2103253676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103253676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127807680).

103253676 is an abundant number, since it is smaller than the sum of its proper divisors (152361684).

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

103253676 is a wasteful number, since it uses less digits than its factorization.

103253676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 103253676 is about 10161.3815989756. The cubic root of 103253676 is about 469.1393272512.

The spelling of 103253676 in words is "one hundred three million, two hundred fifty-three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 131 228 262 393 524 786 1572 2489 3457 4978 6914 7467 9956 10371 13828 14934 20742 29868 41484 65683 131366 197049 262732 394098 452867 788196 905734 1358601 1811468 2717202 5434404 8604473 17208946 25813419 34417892 51626838 103253676