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13398192 = 2432195983
BaseRepresentation
bin110011000111…
…000010110000
3221012200212100
4303013002300
511412220232
61155100400
7221611533
oct63070260
927180770
1013398192
117621295
1245a1700
132a11532
141acaa1a
151299c7c
hexcc70b0

13398192 has 120 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 4109184.

The previous prime is 13398157. The next prime is 13398233. The reversal of 13398192 is 29189331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 161383 + ... + 161465.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 213398192 is an apocalyptic number.

13398192 is a gapful number since it is divisible by the number (12) 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 13398192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

13398192 is an abundant number, since it is smaller than the sum of its proper divisors (27224208).

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

13398192 is a wasteful number, since it uses less digits than its factorization.

13398192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 13398192 is about 3660.3540812331. The cubic root of 13398192 is about 237.5100907993.

The spelling of 13398192 in words is "thirteen million, three hundred ninety-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 59 72 76 83 114 118 144 152 166 171 177 228 236 249 304 332 342 354 456 472 498 531 664 684 708 747 912 944 996 1062 1121 1328 1368 1416 1494 1577 1992 2124 2242 2736 2832 2988 3154 3363 3984 4248 4484 4731 4897 5976 6308 6726 8496 8968 9462 9794 10089 11952 12616 13452 14193 14691 17936 18924 19588 20178 25232 26904 28386 29382 37848 39176 40356 44073 53808 56772 58764 75696 78352 80712 88146 93043 113544 117528 161424 176292 186086 227088 235056 279129 352584 372172 558258 705168 744344 837387 1116516 1488688 1674774 2233032 3349548 4466064 6699096 13398192