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13739880 = 23357111487
BaseRepresentation
bin110100011010…
…011101101000
3221212001120110
4310122131220
512004134010
61210254320
7224533650
oct64323550
927761513
1013739880
117834a80
1247273a0
132b00c0b
141b79360
151316120
hexd1a768

13739880 has 128 divisors (see below), whose sum is σ = 51425280. Its totient is φ = 2853120.

The previous prime is 13739821. The next prime is 13739897. The reversal of 13739880 is 8893731.

13739880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8497 + ... + 9983.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 213739880 is an apocalyptic number.

13739880 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 13739880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

13739880 is an abundant number, since it is smaller than the sum of its proper divisors (37685400).

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

13739880 is a wasteful number, since it uses less digits than its factorization.

13739880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 13739880 is about 3706.7344118509. The cubic root of 13739880 is about 239.5122036776.

The spelling of 13739880 in words is "thirteen million, seven hundred thirty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1487 1540 1848 2310 2974 3080 4461 4620 5948 7435 8922 9240 10409 11896 14870 16357 17844 20818 22305 29740 31227 32714 35688 41636 44610 49071 52045 59480 62454 65428 81785 83272 89220 98142 104090 114499 124908 130856 156135 163570 178440 196284 208180 228998 245355 249816 312270 327140 343497 392568 416360 457996 490710 572495 624540 654280 686994 915992 981420 1144990 1249080 1373988 1717485 1962840 2289980 2747976 3434970 4579960 6869940 13739880