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104532240 = 24352329653
BaseRepresentation
bin1100011101100…
…00100100010000
321021200210021110
412032300210100
5203230012430
614212253320
72406336501
oct616604420
9237623243
10104532240
115400768a
122b011240
131886c6c7
14dc50ba8
15929c7b0
hex63b0910

104532240 has 160 divisors (see below), whose sum is σ = 350334720. Its totient is φ = 25704448.

The previous prime is 104532229. The next prime is 104532251. The reversal of 104532240 is 42235401.

It is an interprime number because it is at equal distance from previous prime (104532229) and next prime (104532251).

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, 159754 + ... + 160406.

It is an arithmetic number, because the mean of its divisors is an integer number (2189592).

Almost surely, 2104532240 is an apocalyptic number.

104532240 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 104532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175167360).

104532240 is an abundant number, since it is smaller than the sum of its proper divisors (245802480).

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

104532240 is a wasteful number, since it uses less digits than its factorization.

104532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 104532240 is about 10224.1009384689. The cubic root of 104532240 is about 471.0678000675.

Adding to 104532240 its reverse (42235401), we get a palindrome (146767641).

The spelling of 104532240 in words is "one hundred four million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 29 30 40 46 48 58 60 69 80 87 92 115 116 120 138 145 174 184 230 232 240 276 290 345 348 368 435 460 464 552 580 653 667 690 696 870 920 1104 1160 1306 1334 1380 1392 1740 1840 1959 2001 2320 2612 2668 2760 3265 3335 3480 3918 4002 5224 5336 5520 6530 6670 6960 7836 8004 9795 10005 10448 10672 13060 13340 15019 15672 16008 18937 19590 20010 26120 26680 30038 31344 32016 37874 39180 40020 45057 52240 53360 56811 60076 75095 75748 78360 80040 90114 94685 113622 120152 150190 151496 156720 160080 180228 189370 225285 227244 240304 284055 300380 302992 360456 378740 435551 450570 454488 568110 600760 720912 757480 871102 901140 908976 1136220 1201520 1306653 1514960 1742204 1802280 2177755 2272440 2613306 3484408 3604560 4355510 4544880 5226612 6533265 6968816 8711020 10453224 13066530 17422040 20906448 26133060 34844080 52266120 104532240