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104345120 = 25511101587
BaseRepresentation
bin1100011100000…
…10111000100000
321021100021121002
412032002320200
5203203020440
614204251132
72404630115
oct616027040
9237307532
10104345120
115399a040
122ab40aa8
1318805499
14dc0290c
159262115
hex6382e20

104345120 has 96 divisors (see below), whose sum is σ = 272051136. Its totient is φ = 37504000.

The previous prime is 104345119. The next prime is 104345141. The reversal of 104345120 is 21543401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104345092 and 104345101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177467 + ... + 178053.

It is an arithmetic number, because the mean of its divisors is an integer number (2833866).

Almost surely, 2104345120 is an apocalyptic number.

104345120 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 104345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136025568).

104345120 is an abundant number, since it is smaller than the sum of its proper divisors (167706016).

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

104345120 is a wasteful number, since it uses less digits than its factorization.

104345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 104345120 is about 10214.9459127300. The cubic root of 104345120 is about 470.7865507768.

Adding to 104345120 its reverse (21543401), we get a palindrome (125888521).

The spelling of 104345120 in words is "one hundred four million, three hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 587 808 880 1010 1111 1174 1616 1760 2020 2222 2348 2935 3232 4040 4444 4696 5555 5870 6457 8080 8888 9392 11110 11740 12914 16160 17776 18784 22220 23480 25828 32285 35552 44440 46960 51656 59287 64570 88880 93920 103312 118574 129140 177760 206624 237148 258280 296435 474296 516560 592870 652157 948592 1033120 1185740 1304314 1897184 2371480 2608628 3260785 4742960 5217256 6521570 9485920 10434512 13043140 20869024 26086280 52172560 104345120