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13162980 = 2235792777
BaseRepresentation
bin110010001101…
…100111100100
3220202202012210
4302031213210
511332203410
61150043420
7216612015
oct62154744
926682183
1013162980
1174805a6
1244a9570
13295b45c
141a6900c
151250220
hexc8d9e4

13162980 has 48 divisors (see below), whose sum is σ = 37336320. Its totient is φ = 3464448.

The previous prime is 13162979. The next prime is 13162987. The reversal of 13162980 is 8926131.

13162980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13162987) 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, 3352 + ... + 6128.

It is an arithmetic number, because the mean of its divisors is an integer number (777840).

Almost surely, 213162980 is an apocalyptic number.

13162980 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 13162980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18668160).

13162980 is an abundant number, since it is smaller than the sum of its proper divisors (24173340).

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

13162980 is a wasteful number, since it uses less digits than its factorization.

13162980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13162980 is about 3628.0821379897. The cubic root of 13162980 is about 236.1120075424.

The spelling of 13162980 in words is "thirteen million, one hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 2777 4740 5554 8331 11108 13885 16662 27770 33324 41655 55540 83310 166620 219383 438766 658149 877532 1096915 1316298 2193830 2632596 3290745 4387660 6581490 13162980