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10310080 = 2651129101
BaseRepresentation
bin100111010101…
…000111000000
3201101210202211
4213111013000
510114410310
61004551504
7153430354
oct47250700
921353684
1010310080
115902130
123552594
13219ca51
141525464
15d89c8a
hex9d51c0

10310080 has 112 divisors (see below), whose sum is σ = 27980640. Its totient is φ = 3584000.

The previous prime is 10310077. The next prime is 10310089. The reversal of 10310080 is 8001301.

It is a self number, because there is not a number n which added to its sum of digits gives 10310080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310089) 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, 102030 + ... + 102130.

Almost surely, 210310080 is an apocalyptic number.

10310080 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 10310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990320).

10310080 is an abundant number, since it is smaller than the sum of its proper divisors (17670560).

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

10310080 is a wasteful number, since it uses less digits than its factorization.

10310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10310080 is about 3210.9313290695. The cubic root of 10310080 is about 217.6476647314.

Adding to 10310080 its reverse (8001301), we get a palindrome (18311381).

The spelling of 10310080 in words is "ten million, three hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 101 110 116 145 160 176 202 220 232 290 319 320 352 404 440 464 505 580 638 704 808 880 928 1010 1111 1160 1276 1595 1616 1760 1856 2020 2222 2320 2552 2929 3190 3232 3520 4040 4444 4640 5104 5555 5858 6380 6464 8080 8888 9280 10208 11110 11716 12760 14645 16160 17776 20416 22220 23432 25520 29290 32219 32320 35552 44440 46864 51040 58580 64438 71104 88880 93728 102080 117160 128876 161095 177760 187456 234320 257752 322190 355520 468640 515504 644380 937280 1031008 1288760 2062016 2577520 5155040 10310080