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13922720 = 255731401
BaseRepresentation
bin110101000111…
…000110100000
3222012100101022
4311013012200
512031011340
61214225012
7226225010
oct65070640
928170338
1013922720
11794a389
1247b5168
132b661c6
141bc5c40
1513503b5
hexd471a0

13922720 has 96 divisors (see below), whose sum is σ = 38900736. Its totient is φ = 4608000.

The previous prime is 13922717. The next prime is 13922731. The reversal of 13922720 is 2722931.

It is a self number, because there is not a number n which added to its sum of digits gives 13922720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34520 + ... + 34920.

It is an arithmetic number, because the mean of its divisors is an integer number (405216).

Almost surely, 213922720 is an apocalyptic number.

13922720 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 13922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450368).

13922720 is an abundant number, since it is smaller than the sum of its proper divisors (24978016).

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

13922720 is a wasteful number, since it uses less digits than its factorization.

13922720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 13922720 is about 3731.3161216922. The cubic root of 13922720 is about 240.5699417516.

The spelling of 13922720 in words is "thirteen million, nine hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 401 434 496 560 620 802 868 992 1085 1120 1240 1604 1736 2005 2170 2480 2807 3208 3472 4010 4340 4960 5614 6416 6944 8020 8680 11228 12431 12832 14035 16040 17360 22456 24862 28070 32080 34720 44912 49724 56140 62155 64160 87017 89824 99448 112280 124310 174034 198896 224560 248620 348068 397792 435085 449120 497240 696136 870170 994480 1392272 1740340 1988960 2784544 3480680 6961360 13922720