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13001880 = 2335971117
BaseRepresentation
bin110001100110…
…010010011000
3220110120020010
4301212102120
511312030010
61142401520
7215341233
oct61462230
926416203
1013001880
117380561
1244302a0
132903028
141a2641a
15121c620
hexc66498

13001880 has 64 divisors (see below), whose sum is σ = 39443040. Its totient is φ = 3428352.

The previous prime is 13001861. The next prime is 13001897. The reversal of 13001880 is 8810031.

It is a happy number.

It is a congruent number.

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, 11082 + ... + 12198.

Almost surely, 213001880 is an apocalyptic number.

13001880 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 13001880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19721520).

13001880 is an abundant number, since it is smaller than the sum of its proper divisors (26441160).

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

13001880 is a wasteful number, since it uses less digits than its factorization.

13001880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 13001880 is about 3605.8119751313. The cubic root of 13001880 is about 235.1448028647.

The spelling of 13001880 in words is "thirteen million, one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1117 1164 1455 1940 2234 2328 2910 3351 3880 4468 5585 5820 6702 8936 11170 11640 13404 16755 22340 26808 33510 44680 67020 108349 134040 216698 325047 433396 541745 650094 866792 1083490 1300188 1625235 2166980 2600376 3250470 4333960 6500940 13001880