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13397040 = 2432523809
BaseRepresentation
bin110011000110…
…110000110000
3221012122021200
4303012300300
511412201130
61155051200
7221605266
oct63066060
927178250
1013397040
117620438
1245a0b00
132a10b57
141aca436
151299760
hexcc6c30

13397040 has 120 divisors (see below), whose sum is σ = 47005920. Its totient is φ = 3412992.

The previous prime is 13397039. The next prime is 13397047. The reversal of 13397040 is 4079331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 13396995 and 13397013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13397047) 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, 16156 + ... + 16964.

It is an arithmetic number, because the mean of its divisors is an integer number (391716).

Almost surely, 213397040 is an apocalyptic number.

13397040 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 13397040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502960).

13397040 is an abundant number, since it is smaller than the sum of its proper divisors (33608880).

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

13397040 is a wasteful number, since it uses less digits than its factorization.

13397040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13397040 is about 3660.1967160250. The cubic root of 13397040 is about 237.5032834264.

The spelling of 13397040 in words is "thirteen million, three hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 809 828 920 1035 1104 1380 1618 1656 1840 2070 2427 2760 3236 3312 4045 4140 4854 5520 6472 7281 8090 8280 9708 12135 12944 14562 16180 16560 18607 19416 24270 29124 32360 36405 37214 38832 48540 55821 58248 64720 72810 74428 93035 97080 111642 116496 145620 148856 167463 186070 194160 223284 279105 291240 297712 334926 372140 446568 558210 582480 669852 744280 837315 893136 1116420 1339704 1488560 1674630 2232840 2679408 3349260 4465680 6698520 13397040