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10120860 = 2232559953
BaseRepresentation
bin100110100110…
…111010011100
3201001012012200
4212212322130
510042331420
61000531500
7152011611
oct46467234
921035180
1010120860
115792a52
123480b90
132134899
1414b6508
15d4db90
hex9a6e9c

10120860 has 72 divisors (see below), whose sum is σ = 31253040. Its totient is φ = 2650368.

The previous prime is 10120843. The next prime is 10120921. The reversal of 10120860 is 6802101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10144 + ... + 11096.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 210120860 is an apocalyptic number.

10120860 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 10120860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626520).

10120860 is an abundant number, since it is smaller than the sum of its proper divisors (21132180).

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

10120860 is a wasteful number, since it uses less digits than its factorization.

10120860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10120860 is about 3181.3299105877. The cubic root of 10120860 is about 216.3079455352.

Adding to 10120860 its reverse (6802101), we get a palindrome (16922961).

The spelling of 10120860 in words is "ten million, one hundred twenty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 953 1062 1180 1770 1906 2124 2655 2859 3540 3812 4765 5310 5718 8577 9530 10620 11436 14295 17154 19060 28590 34308 42885 56227 57180 85770 112454 168681 171540 224908 281135 337362 506043 562270 674724 843405 1012086 1124540 1686810 2024172 2530215 3373620 5060430 10120860