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13994292 = 22313109823
BaseRepresentation
bin110101011000…
…100100110100
3222022222120010
4311120210310
512040304132
61215540220
7226643454
oct65304464
928288503
1013994292
117999134
12482a670
132b8c960
141c03d64
1513666cc
hexd58934

13994292 has 48 divisors (see below), whose sum is σ = 35530880. Its totient is φ = 4261248.

The previous prime is 13994263. The next prime is 13994293. The reversal of 13994292 is 29249931.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 13994292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13994293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16593 + ... + 17415.

Almost surely, 213994292 is an apocalyptic number.

13994292 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 13994292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765440).

13994292 is an abundant number, since it is smaller than the sum of its proper divisors (21536588).

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

13994292 is a wasteful number, since it uses less digits than its factorization.

13994292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 13994292 is about 3740.8945454263. The cubic root of 13994292 is about 240.9814669839.

The spelling of 13994292 in words is "thirteen million, nine hundred ninety-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 823 1308 1417 1646 2469 2834 3292 4251 4938 5668 8502 9876 10699 17004 21398 32097 42796 64194 89707 128388 179414 269121 358828 538242 1076484 1166191 2332382 3498573 4664764 6997146 13994292