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103670424 = 2332111310069
BaseRepresentation
bin1100010110111…
…10001010011000
321020002000002100
412023132022120
5203014423144
614142003400
72366120064
oct613361230
9236060070
10103670424
1153579140
122a876560
131862a360
14daa8aa4
15917c269
hex62de298

103670424 has 96 divisors (see below), whose sum is σ = 329893200. Its totient is φ = 28995840.

The previous prime is 103670401. The next prime is 103670431. The reversal of 103670424 is 424076301.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 5262 + ... + 15330.

Almost surely, 2103670424 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 103670424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164946600).

103670424 is an abundant number, since it is smaller than the sum of its proper divisors (226222776).

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

103670424 is a wasteful number, since it uses less digits than its factorization.

103670424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 103670424 is about 10181.8674122186. The cubic root of 103670424 is about 469.7696532340.

The spelling of 103670424 in words is "one hundred three million, six hundred seventy thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10069 10296 20138 30207 40276 60414 80552 90621 110759 120828 130897 181242 221518 241656 261794 332277 362484 392691 443036 523588 664554 724968 785382 886072 996831 1047176 1178073 1329108 1439867 1570764 1993662 2356146 2658216 2879734 3141528 3987324 4319601 4712292 5759468 7974648 8639202 9424584 11518936 12958803 17278404 25917606 34556808 51835212 103670424