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104233120 = 2551738321
BaseRepresentation
bin1100011011001…
…11100010100000
321021010120221221
412031213202200
5203140424440
614202024424
72403652435
oct615474240
9237116857
10104233120
1153922982
122aaa8114
1318796504
14dbb3b8c
15923dd4a
hex63678a0

104233120 has 48 divisors (see below), whose sum is σ = 260742888. Its totient is φ = 39239680.

The previous prime is 104233057. The next prime is 104233127. The reversal of 104233120 is 21332401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 97535376 + 6697744 = 9876^2 + 2588^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 104233094 and 104233103.

It is not an unprimeable number, because it can be changed into a prime (104233127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16441 + ... + 21880.

Almost surely, 2104233120 is an apocalyptic number.

104233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104233120 is an abundant number, since it is smaller than the sum of its proper divisors (156509768).

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

104233120 is a wasteful number, since it uses less digits than its factorization.

104233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38353 (or 38345 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 104233120 is about 10209.4622777108. The cubic root of 104233120 is about 470.6180491405.

Adding to 104233120 its reverse (21332401), we get a palindrome (125565521).

The spelling of 104233120 in words is "one hundred four million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 38321 76642 153284 191605 306568 383210 613136 651457 766420 1226272 1302914 1532840 2605828 3065680 3257285 5211656 6131360 6514570 10423312 13029140 20846624 26058280 52116560 104233120