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13136940 = 22325591237
BaseRepresentation
bin110010000111…
…010000101100
3220201102111100
4302013100230
511330340230
61145323100
7216443055
oct62072054
926642440
1013136940
117462a83
124496490
13294c64b
141a5d72c
151247660
hexc8742c

13136940 has 72 divisors (see below), whose sum is σ = 40556880. Its totient is φ = 3441024.

The previous prime is 13136939. The next prime is 13136947. The reversal of 13136940 is 4963131.

It is not an unprimeable number, because it can be changed into a prime (13136947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10002 + ... + 11238.

It is an arithmetic number, because the mean of its divisors is an integer number (563290).

Almost surely, 213136940 is an apocalyptic number.

13136940 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 13136940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20278440).

13136940 is an abundant number, since it is smaller than the sum of its proper divisors (27419940).

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

13136940 is a wasteful number, since it uses less digits than its factorization.

13136940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13136940 is about 3624.4916884992. The cubic root of 13136940 is about 235.9562065632.

The spelling of 13136940 in words is "thirteen million, one hundred thirty-six thousand, nine hundred forty".

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 1062 1180 1237 1770 2124 2474 2655 3540 3711 4948 5310 6185 7422 10620 11133 12370 14844 18555 22266 24740 37110 44532 55665 72983 74220 111330 145966 218949 222660 291932 364915 437898 656847 729830 875796 1094745 1313694 1459660 2189490 2627388 3284235 4378980 6568470 13136940