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13420992 = 2631319283
BaseRepresentation
bin110011001100…
…100111000000
3221020212010210
4303030213000
511413432432
61155354120
7222035154
oct63144700
927225123
1013420992
117637432
1245b2940
132a1ba20
141ad5064
1512a18cc
hexccc9c0

13420992 has 112 divisors (see below), whose sum is σ = 40396160. Its totient is φ = 3898368.

The previous prime is 13420987. The next prime is 13420999. The reversal of 13420992 is 29902431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47283 + ... + 47565.

It is an arithmetic number, because the mean of its divisors is an integer number (360680).

Almost surely, 213420992 is an apocalyptic number.

13420992 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 13420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20198080).

13420992 is an abundant number, since it is smaller than the sum of its proper divisors (26975168).

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

13420992 is a wasteful number, since it uses less digits than its factorization.

13420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13420992 is about 3663.4672101713. The cubic root of 13420992 is about 237.6447398433.

The spelling of 13420992 in words is "thirteen million, four hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 283 304 312 416 456 494 566 608 624 741 832 849 912 988 1132 1216 1248 1482 1698 1824 1976 2264 2496 2964 3396 3648 3679 3952 4528 5377 5928 6792 7358 7904 9056 10754 11037 11856 13584 14716 15808 16131 18112 21508 22074 23712 27168 29432 32262 43016 44148 47424 54336 58864 64524 69901 86032 88296 117728 129048 139802 172064 176592 209703 235456 258096 279604 344128 353184 419406 516192 559208 706368 838812 1032384 1118416 1677624 2236832 3355248 4473664 6710496 13420992