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104580720 = 2434516139
BaseRepresentation
bin1100011101111…
…00011001110000
321021210020210000
412032330121300
5203233040340
614213310000
72406631026
oct616743160
9237706700
10104580720
1154040052
122b035300
13188887aa
14dc64716
1592abd30
hex63bc670

104580720 has 100 divisors (see below), whose sum is σ = 363246840. Its totient is φ = 27886464.

The previous prime is 104580703. The next prime is 104580737. The reversal of 104580720 is 27085401.

104580720 is a `hidden beast` number, since 10 + 4 + 580 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104580703) and next prime (104580737).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1590 + ... + 14549.

Almost surely, 2104580720 is an apocalyptic number.

104580720 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 104580720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181623420).

104580720 is an abundant number, since it is smaller than the sum of its proper divisors (258666120).

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

104580720 is a wasteful number, since it uses less digits than its factorization.

104580720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16164 (or 16149 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 104580720 is about 10226.4715322539. The cubic root of 104580720 is about 471.1406128104.

The spelling of 104580720 in words is "one hundred four million, five hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 16139 32278 48417 64556 80695 96834 129112 145251 161390 193668 242085 258224 290502 322780 387336 435753 484170 581004 645560 726255 774672 871506 968340 1162008 1291120 1307259 1452510 1743012 1936680 2178765 2324016 2614518 2905020 3486024 3873360 4357530 5229036 5810040 6536295 6972048 8715060 10458072 11620080 13072590 17430120 20916144 26145180 34860240 52290360 104580720