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103692096 = 2633232609
BaseRepresentation
bin1100010111000…
…11011101000000
321020010002211000
412023203131000
5203021121341
614142252000
72366240214
oct613433500
9236102730
10103692096
1153593452
122a887000
1318637191
14dab2944
1591838b6
hex62e3740

103692096 has 112 divisors (see below), whose sum is σ = 318211200. Its totient is φ = 33048576.

The previous prime is 103692089. The next prime is 103692097. The reversal of 103692096 is 690296301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103692096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103692097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38440 + ... + 41048.

Almost surely, 2103692096 is an apocalyptic number.

103692096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103692096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159105600).

103692096 is an abundant number, since it is smaller than the sum of its proper divisors (214519104).

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

103692096 is a wasteful number, since it uses less digits than its factorization.

103692096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 103692096 is about 10182.9316014594. The cubic root of 103692096 is about 469.8023856122.

The spelling of 103692096 in words is "one hundred three million, six hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 2609 3312 4416 4968 5218 6624 7827 9936 10436 13248 15654 19872 20872 23481 31308 39744 41744 46962 60007 62616 70443 83488 93924 120014 125232 140886 166976 180021 187848 240028 250464 281772 360042 375696 480056 500928 540063 563544 720084 751392 960112 1080126 1127088 1440168 1502784 1620189 1920224 2160252 2254176 2880336 3240378 3840448 4320504 4508352 5760672 6480756 8641008 11521344 12961512 17282016 25923024 34564032 51846048 103692096