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13992960 = 21035911
BaseRepresentation
bin110101011000…
…010000000000
3222022220201210
4311120100000
512040233320
61215530120
7226636542
oct65302000
928286653
1013992960
117998133
124829940
132b8c177
141c03692
1513660e0
hexd58400

13992960 has 88 divisors (see below), whose sum is σ = 44804736. Its totient is φ = 3727360.

The previous prime is 13992959. The next prime is 13992977. The reversal of 13992960 is 6929931.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14905 + ... + 15815.

Almost surely, 213992960 is an apocalyptic number.

13992960 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 13992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402368).

13992960 is an abundant number, since it is smaller than the sum of its proper divisors (30811776).

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

13992960 is an equidigital number, since it uses as much as digits as its factorization.

13992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 13992960 is about 3740.7165089057. The cubic root of 13992960 is about 240.9738210690.

The spelling of 13992960 in words is "thirteen million, nine hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 911 960 1024 1280 1536 1822 1920 2560 2733 3072 3644 3840 4555 5120 5466 7288 7680 9110 10932 13665 14576 15360 18220 21864 27330 29152 36440 43728 54660 58304 72880 87456 109320 116608 145760 174912 218640 233216 291520 349824 437280 466432 583040 699648 874560 932864 1166080 1399296 1749120 2332160 2798592 3498240 4664320 6996480 13992960