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13939440 = 24352412
BaseRepresentation
bin110101001011…
…001011110000
3222020012022120
4311023023300
512032030230
61214434240
7226324524
oct65131360
928205276
1013939440
1179609a9
124802980
132b709b8
141bcbd84
151355310
hexd4b2f0

13939440 has 60 divisors (see below), whose sum is σ = 43392312. Its totient is φ = 3701760.

The previous prime is 13939411. The next prime is 13939463. The reversal of 13939440 is 4493931.

13939440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57720 + ... + 57960.

Almost surely, 213939440 is an apocalyptic number.

13939440 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 13939440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21696156).

13939440 is an abundant number, since it is smaller than the sum of its proper divisors (29452872).

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

13939440 is an equidigital number, since it uses as much as digits as its factorization.

13939440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13939440 is about 3733.5559457439. Note that the first 3 decimals coincide. The cubic root of 13939440 is about 240.6662045590. Note that the first 3 decimals are identical.

The spelling of 13939440 in words is "thirteen million, nine hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 723 964 1205 1446 1928 2410 2892 3615 3856 4820 5784 7230 9640 11568 14460 19280 28920 57840 58081 116162 174243 232324 290405 348486 464648 580810 696972 871215 929296 1161620 1393944 1742430 2323240 2787888 3484860 4646480 6969720 13939440