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104332020 = 223513181739
BaseRepresentation
bin1100011011111…
…11101011110100
321021022121121220
412031333223310
5203202111040
614204110340
72404543662
oct615775364
9237277556
10104332020
1153990211
122ab353b0
13187cc530
14dbdbc32
15925d2d0
hex637faf4

104332020 has 96 divisors (see below), whose sum is σ = 316767360. Its totient is φ = 25505280.

The previous prime is 104332013. The next prime is 104332027. The reversal of 104332020 is 20233401.

It is an interprime number because it is at equal distance from previous prime (104332013) and next prime (104332027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104332027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140811 + ... + 141549.

It is an arithmetic number, because the mean of its divisors is an integer number (3299660).

Almost surely, 2104332020 is an apocalyptic number.

104332020 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 104332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158383680).

104332020 is an abundant number, since it is smaller than the sum of its proper divisors (212435340).

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

104332020 is a wasteful number, since it uses less digits than its factorization.

104332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 104332020 is about 10214.3046753071. The cubic root of 104332020 is about 470.7668483319.

Adding to 104332020 its reverse (20233401), we get a palindrome (124565421).

The spelling of 104332020 in words is "one hundred four million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 181 195 260 362 390 543 724 739 780 905 1086 1478 1810 2172 2217 2353 2715 2956 3620 3695 4434 4706 5430 7059 7390 8868 9412 9607 10860 11085 11765 14118 14780 19214 22170 23530 28236 28821 35295 38428 44340 47060 48035 57642 70590 96070 115284 133759 141180 144105 192140 267518 288210 401277 535036 576420 668795 802554 1337590 1605108 1738867 2006385 2675180 3477734 4012770 5216601 6955468 8025540 8694335 10433202 17388670 20866404 26083005 34777340 52166010 104332020