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103694136 = 23371379601
BaseRepresentation
bin1100010111000…
…11111100111000
321020010012121120
412023203330320
5203021203021
614142305240
72366246160
oct613437470
9236105546
10103694136
1153594a37
122a888220
13186380a0
14dab35a0
1591842c6
hex62e3f38

103694136 has 128 divisors (see below), whose sum is σ = 323635200. Its totient is φ = 26956800.

The previous prime is 103694131. The next prime is 103694147. The reversal of 103694136 is 631496301.

It is a junction number, because it is equal to n+sod(n) for n = 103694097 and 103694106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103694131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172236 + ... + 172836.

It is an arithmetic number, because the mean of its divisors is an integer number (2528400).

Almost surely, 2103694136 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 103694136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161817600).

103694136 is an abundant number, since it is smaller than the sum of its proper divisors (219941064).

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

103694136 is a wasteful number, since it uses less digits than its factorization.

103694136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 103694136 is about 10183.0317685844. The cubic root of 103694136 is about 469.8054664982.

The spelling of 103694136 in words is "one hundred three million, six hundred ninety-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 79 84 91 104 156 158 168 182 237 273 312 316 364 474 546 553 601 632 728 948 1027 1092 1106 1202 1659 1803 1896 2054 2184 2212 2404 3081 3318 3606 4108 4207 4424 4808 6162 6636 7189 7212 7813 8216 8414 12324 12621 13272 14378 14424 15626 16828 21567 23439 24648 25242 28756 31252 33656 43134 46878 47479 50484 54691 57512 62504 86268 93756 94958 100968 109382 142437 164073 172536 187512 189916 218764 284874 328146 332353 379832 437528 569748 617227 656292 664706 997059 1139496 1234454 1312584 1329412 1851681 1994118 2468908 2658824 3703362 3988236 4320589 4937816 7406724 7976472 8641178 12961767 14813448 17282356 25923534 34564712 51847068 103694136