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104100240 = 24351937617
BaseRepresentation
bin1100011010001…
…11000110010000
321020212211200110
412031013012100
5203122201430
614155121320
72402560146
oct615070620
9236784613
10104100240
1153842062
122aa43240
131874ab9a
14db7b596
1592147b0
hex6347190

104100240 has 160 divisors (see below), whose sum is σ = 349441920. Its totient is φ = 25546752.

The previous prime is 104100239. The next prime is 104100247. The reversal of 104100240 is 42001401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (104100247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168412 + ... + 169028.

It is an arithmetic number, because the mean of its divisors is an integer number (2184012).

Almost surely, 2104100240 is an apocalyptic number.

104100240 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 104100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174720960).

104100240 is an abundant number, since it is smaller than the sum of its proper divisors (245341680).

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

104100240 is a wasteful number, since it uses less digits than its factorization.

104100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 104100240 is about 10202.9525138560. The cubic root of 104100240 is about 470.4179773545.

Adding to 104100240 its reverse (42001401), we get a palindrome (146101641).

The spelling of 104100240 in words is "one hundred four million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 37 38 40 48 57 60 74 76 80 95 111 114 120 148 152 185 190 222 228 240 285 296 304 370 380 444 456 555 570 592 617 703 740 760 888 912 1110 1140 1234 1406 1480 1520 1776 1851 2109 2220 2280 2468 2812 2960 3085 3515 3702 4218 4440 4560 4936 5624 6170 7030 7404 8436 8880 9255 9872 10545 11248 11723 12340 14060 14808 16872 18510 21090 22829 23446 24680 28120 29616 33744 35169 37020 42180 45658 46892 49360 56240 58615 68487 70338 74040 84360 91316 93784 114145 117230 136974 140676 148080 168720 175845 182632 187568 228290 234460 273948 281352 342435 351690 365264 433751 456580 468920 547896 562704 684870 703380 867502 913160 937840 1095792 1301253 1369740 1406760 1735004 1826320 2168755 2602506 2739480 2813520 3470008 4337510 5205012 5478960 6506265 6940016 8675020 10410024 13012530 17350040 20820048 26025060 34700080 52050120 104100240