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104014680 = 233571111257
BaseRepresentation
bin1100011001100…
…10001101011000
321020201111022120
412030302031120
5203111432210
614153221240
72402052540
oct614621530
9236644276
10104014680
1153793850
122aa01820
131871ac63
14db58320
1591e9270
hex6332358

104014680 has 128 divisors (see below), whose sum is σ = 389076480. Its totient is φ = 21611520.

The previous prime is 104014649. The next prime is 104014697. The reversal of 104014680 is 86410401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104014680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3612 + ... + 14868.

It is an arithmetic number, because the mean of its divisors is an integer number (3039660).

Almost surely, 2104014680 is an apocalyptic number.

104014680 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 104014680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194538240).

104014680 is an abundant number, since it is smaller than the sum of its proper divisors (285061800).

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

104014680 is a wasteful number, since it uses less digits than its factorization.

104014680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11289 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 104014680 is about 10198.7587480046. The cubic root of 104014680 is about 470.2890631655.

The spelling of 104014680 in words is "one hundred four million, fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 11257 22514 33771 45028 56285 67542 78799 90056 112570 123827 135084 157598 168855 225140 236397 247654 270168 315196 337710 371481 393995 450280 472794 495308 619135 630392 675420 742962 787990 866789 945588 990616 1181985 1238270 1350840 1485924 1575980 1733578 1857405 1891176 2363970 2476540 2600367 2971848 3151960 3467156 3714810 4333945 4727940 4953080 5200734 6934312 7429620 8667890 9455880 10401468 13001835 14859240 17335780 20802936 26003670 34671560 52007340 104014680