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104694336 = 2633431409
BaseRepresentation
bin1100011110110…
…00001001000000
321022000000122000
412033120021000
5203300204321
614215544000
72410613205
oct617301100
9238000560
10104694336
115410844a
122b08b000
13188c8416
14dc93cac
1592d0826
hex63d8240

104694336 has 112 divisors (see below), whose sum is σ = 315163200. Its totient is φ = 34062336.

The previous prime is 104694329. The next prime is 104694341. The reversal of 104694336 is 633496401.

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 104694336.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73600 + ... + 75008.

Almost surely, 2104694336 is an apocalyptic number.

104694336 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 104694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157581600).

104694336 is an abundant number, since it is smaller than the sum of its proper divisors (210468864).

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

104694336 is a wasteful number, since it uses less digits than its factorization.

104694336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 104694336 is about 10232.0250195159. The cubic root of 104694336 is about 471.3111660410.

The spelling of 104694336 in words is "one hundred four million, six hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 774 864 1032 1161 1376 1409 1548 1728 2064 2322 2752 2818 3096 4128 4227 4644 5636 6192 8256 8454 9288 11272 12384 12681 16908 18576 22544 24768 25362 33816 37152 38043 45088 50724 60587 67632 74304 76086 90176 101448 121174 135264 152172 181761 202896 242348 270528 304344 363522 405792 484696 545283 608688 727044 811584 969392 1090566 1217376 1454088 1635849 1938784 2181132 2434752 2908176 3271698 3877568 4362264 5816352 6543396 8724528 11632704 13086792 17449056 26173584 34898112 52347168 104694336