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104123880 = 2334574591
BaseRepresentation
bin1100011010011…
…00110111101000
321020221001010000
412031030313220
5203123431010
614155423000
72403016110
oct615146750
9236831100
10104123880
11538588a3
122aa54a60
1318758883
14db86040
15921b7c0
hex634cde8

104123880 has 160 divisors (see below), whose sum is σ = 400055040. Its totient is φ = 23794560.

The previous prime is 104123879. The next prime is 104123881. The reversal of 104123880 is 88321401.

It is an interprime number because it is at equal distance from previous prime (104123879) and next prime (104123881).

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

It is not an unprimeable number, because it can be changed into a prime (104123881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20385 + ... + 24975.

It is an arithmetic number, because the mean of its divisors is an integer number (2500344).

Almost surely, 2104123880 is an apocalyptic number.

104123880 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 104123880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200027520).

104123880 is an abundant number, since it is smaller than the sum of its proper divisors (295931160).

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

104123880 is a wasteful number, since it uses less digits than its factorization.

104123880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 104123880 is about 10204.1109362845. The cubic root of 104123880 is about 470.4535835462.

The spelling of 104123880 in words is "one hundred four million, one hundred twenty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 4591 5670 7560 9182 11340 13773 18364 22680 22955 27546 32137 36728 41319 45910 55092 64274 68865 82638 91820 96411 110184 123957 128548 137730 160685 165276 183640 192822 206595 247914 257096 275460 289233 321370 330552 371871 385644 413190 482055 495828 550920 578466 619785 642740 743742 771288 826380 867699 964110 991656 1156932 1239570 1285480 1446165 1487484 1652760 1735398 1859355 1928220 2313864 2479140 2603097 2892330 2974968 3470796 3718710 3856440 4338495 4958280 5206194 5784660 6941592 7437420 8676990 10412388 11569320 13015485 14874840 17353980 20824776 26030970 34707960 52061940 104123880