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104364480 = 2635119883
BaseRepresentation
bin1100011100001…
…11100111000000
321021101021011010
412032013213000
5203204130410
614204520520
72405040423
oct616074700
9237337133
10104364480
1153a02640
122ab50140
131881123c
14dc099ba
159267c20
hex63879c0

104364480 has 112 divisors (see below), whose sum is σ = 361517184. Its totient is φ = 25297920.

The previous prime is 104364467. The next prime is 104364497. The reversal of 104364480 is 84463401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

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, 5619 + ... + 15501.

It is an arithmetic number, because the mean of its divisors is an integer number (3227832).

Almost surely, 2104364480 is an apocalyptic number.

104364480 is a gapful number since it is divisible by the number (10) 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 104364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180758592).

104364480 is an abundant number, since it is smaller than the sum of its proper divisors (257152704).

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

104364480 is a wasteful number, since it uses less digits than its factorization.

104364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9914 (or 9904 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 104364480 is about 10215.8934998364. The cubic root of 104364480 is about 470.8156652640.

The spelling of 104364480 in words is "one hundred four million, three hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 9883 10560 19766 29649 39532 49415 59298 79064 98830 108713 118596 148245 158128 197660 217426 237192 296490 316256 326139 395320 434852 474384 543565 592980 632512 652278 790640 869704 948768 1087130 1185960 1304556 1581280 1630695 1739408 1897536 2174260 2371920 2609112 3162560 3261390 3478816 4348520 4743840 5218224 6522780 6957632 8697040 9487680 10436448 13045560 17394080 20872896 26091120 34788160 52182240 104364480