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104231120 = 2457373499
BaseRepresentation
bin1100011011001…
…11000011010000
321021010111012212
412031213003100
5203140343440
614202011252
72403643550
oct615470320
9237114185
10104231120
1153921424
122aaa6b28
1318795626
14dbb3160
15923d465
hex63670d0

104231120 has 80 divisors (see below), whose sum is σ = 278256000. Its totient is φ = 35569152.

The previous prime is 104231119. The next prime is 104231123. The reversal of 104231120 is 21132401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 104231095 and 104231104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104231123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208631 + ... + 209129.

It is an arithmetic number, because the mean of its divisors is an integer number (3478200).

Almost surely, 2104231120 is an apocalyptic number.

104231120 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 104231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139128000).

104231120 is an abundant number, since it is smaller than the sum of its proper divisors (174024880).

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

104231120 is a wasteful number, since it uses less digits than its factorization.

104231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 104231120 is about 10209.3643288894. The cubic root of 104231120 is about 470.6150390860.

Adding to 104231120 its reverse (21132401), we get a palindrome (125363521).

The spelling of 104231120 in words is "one hundred four million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 373 499 560 746 998 1492 1865 1996 2495 2611 2984 3493 3730 3992 4990 5222 5968 6986 7460 7984 9980 10444 13055 13972 14920 17465 19960 20888 26110 27944 29840 34930 39920 41776 52220 55888 69860 104440 139720 186127 208880 279440 372254 744508 930635 1302889 1489016 1861270 2605778 2978032 3722540 5211556 6514445 7445080 10423112 13028890 14890160 20846224 26057780 52115560 104231120