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103243764 = 223133137577
BaseRepresentation
bin1100010011101…
…01111111110100
321012021022211010
412021311333310
5202412300024
614124512220
72362362141
oct611657764
9235238733
10103243764
1153307628
122a6ab670
131850b0b0
14d9d73c8
1590e5b29
hex6275ff4

103243764 has 96 divisors (see below), whose sum is σ = 275516416. Its totient is φ = 29859840.

The previous prime is 103243759. The next prime is 103243807. The reversal of 103243764 is 467342301.

103243764 = 2022 + 2032 + ... + 6822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178644 + ... + 179220.

Almost surely, 2103243764 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 103243764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137758208).

103243764 is an abundant number, since it is smaller than the sum of its proper divisors (172272652).

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

103243764 is a wasteful number, since it uses less digits than its factorization.

103243764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 103243764 is about 10160.8938583178. The cubic root of 103243764 is about 469.1243148468.

The spelling of 103243764 in words is "one hundred three million, two hundred forty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 31 37 39 52 62 74 78 93 111 124 148 156 186 222 372 403 444 481 577 806 962 1147 1154 1209 1443 1612 1731 1924 2294 2308 2418 2886 3441 3462 4588 4836 5772 6882 6924 7501 13764 14911 15002 17887 21349 22503 29822 30004 35774 42698 44733 45006 53661 59644 64047 71548 85396 89466 90012 107322 128094 178932 214644 232531 256188 277537 465062 555074 661819 697593 832611 930124 1110148 1323638 1395186 1665222 1985457 2647276 2790372 3330444 3970914 7941828 8603647 17207294 25810941 34414588 51621882 103243764