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104057520 = 24357232693
BaseRepresentation
bin1100011001111…
…00101010110000
321020210200002020
412030330222300
5203114320040
614154151440
72402321460
oct614745260
9236720066
10104057520
1153812a56
122aa22580
13187345c8
14db69ba0
159206cd0
hex633cab0

104057520 has 160 divisors (see below), whose sum is σ = 384832512. Its totient is φ = 22742016.

The previous prime is 104057507. The next prime is 104057531. The reversal of 104057520 is 25750401.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37294 + ... + 39986.

Almost surely, 2104057520 is an apocalyptic number.

104057520 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 104057520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192416256).

104057520 is an abundant number, since it is smaller than the sum of its proper divisors (280774992).

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

104057520 is a wasteful number, since it uses less digits than its factorization.

104057520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 104057520 is about 10200.8587873767. The cubic root of 104057520 is about 470.3536194958.

The spelling of 104057520 in words is "one hundred four million, fifty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2693 2760 3220 3864 4830 5386 5520 6440 7728 8079 9660 10772 12880 13465 16158 18851 19320 21544 26930 32316 37702 38640 40395 43088 53860 56553 61939 64632 75404 80790 94255 107720 113106 123878 129264 150808 161580 185817 188510 215440 226212 247756 282765 301616 309695 323160 371634 377020 433573 452424 495512 565530 619390 646320 743268 754040 867146 904848 929085 991024 1131060 1238780 1300719 1486536 1508080 1734292 1858170 2167865 2262120 2477560 2601438 2973072 3468584 3716340 4335730 4524240 4955120 5202876 6503595 6937168 7432680 8671460 10405752 13007190 14865360 17342920 20811504 26014380 34685840 52028760 104057520