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13333896 = 2335193
BaseRepresentation
bin110010110111…
…010110001000
3221002102200000
4302313112020
511403141041
61153443000
7221223222
oct62672610
927072600
1013333896
117587a54
124570460
1329bb1a4
141ab1412
151285bb6
hexcb7588

13333896 has 96 divisors (see below), whose sum is σ = 39530400. Its totient is φ = 4210704.

The previous prime is 13333883. The next prime is 13333909. The reversal of 13333896 is 69833331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13333896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13333883) and next prime (13333909).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (34992) is a multiple of the sum of its prime divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13333896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701775 + ... + 701793.

It is an arithmetic number, because the mean of its divisors is an integer number (411775).

Almost surely, 213333896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13333896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19765200).

13333896 is an abundant number, since it is smaller than the sum of its proper divisors (26196504).

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

13333896 is an frugal number, since it uses more digits than its factorization.

13333896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 24 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13333896 is about 3651.5607621947. The cubic root of 13333896 is about 237.1295558279.

The spelling of 13333896 in words is "thirteen million, three hundred thirty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 361 456 486 513 648 684 722 972 1026 1083 1368 1444 1539 1944 2052 2166 2888 3078 3249 4104 4332 4617 6156 6498 6859 8664 9234 9747 12312 12996 13718 18468 19494 20577 25992 27436 29241 36936 38988 41154 54872 58482 61731 77976 82308 87723 116964 123462 164616 175446 185193 233928 246924 350892 370386 493848 555579 701784 740772 1111158 1481544 1666737 2222316 3333474 4444632 6666948 13333896