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104000784 = 24331371889
BaseRepresentation
bin1100011001011…
…10110100010000
321020200210020220
412030232310100
5203111011114
614153033040
72401664166
oct614566420
9236623226
10104000784
1153784368
122a9b5780
1318714834
14db53236
1591e50a9
hex632ed10

104000784 has 80 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 32624640.

The previous prime is 104000761. The next prime is 104000807. The reversal of 104000784 is 487000401.

It is an interprime number because it is at equal distance from previous prime (104000761) and next prime (104000807).

It is a super-2 number, since 2×1040007842 = 21632326145229312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 54112 + ... + 56000.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2104000784 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 104000784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

104000784 is an abundant number, since it is smaller than the sum of its proper divisors (180980976).

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

104000784 is a wasteful number, since it uses less digits than its factorization.

104000784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 104000784 is about 10198.0774658756. The cubic root of 104000784 is about 470.2681192376.

The spelling of 104000784 in words is "one hundred four million, seven hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 592 744 888 1147 1488 1776 1889 2294 3441 3778 4588 5667 6882 7556 9176 11334 13764 15112 18352 22668 27528 30224 45336 55056 58559 69893 90672 117118 139786 175677 209679 234236 279572 351354 419358 468472 559144 702708 838716 936944 1118288 1405416 1677432 2166683 2810832 3354864 4333366 6500049 8666732 13000098 17333464 26000196 34666928 52000392 104000784