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13252980 = 22351321307
BaseRepresentation
bin110010100011…
…100101110100
3220221022200010
4302203211310
511343043410
61152020220
7220435266
oct62434564
926838603
1013252980
117532184
124531670
132990400
141a8db36
15126bc20
hexca3974

13252980 has 72 divisors (see below), whose sum is σ = 40213152. Its totient is φ = 3259776.

The previous prime is 13252973. The next prime is 13252997. The reversal of 13252980 is 8925231.

It is a happy number.

13252980 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9487 + ... + 10793.

It is an arithmetic number, because the mean of its divisors is an integer number (558516).

Almost surely, 213252980 is an apocalyptic number.

13252980 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 13252980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20106576).

13252980 is an abundant number, since it is smaller than the sum of its proper divisors (26960172).

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

13252980 is a wasteful number, since it uses less digits than its factorization.

13252980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13252980 is about 3640.4642561080. The cubic root of 13252980 is about 236.6489131253.

The spelling of 13252980 in words is "thirteen million, two hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1307 1690 2028 2535 2614 3380 3921 5070 5228 6535 7842 10140 13070 15684 16991 19605 26140 33982 39210 50973 67964 78420 84955 101946 169910 203892 220883 254865 339820 441766 509730 662649 883532 1019460 1104415 1325298 2208830 2650596 3313245 4417660 6626490 13252980