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13771992 = 23313371193
BaseRepresentation
bin110100100010…
…010011011000
3221220200121210
4310202103120
512011200432
61211103120
7225026403
oct64422330
927820553
1013771992
117857113
124741aa0
132b12710
141b86d3a
1513208cc
hexd224d8

13771992 has 64 divisors (see below), whose sum is σ = 38112480. Its totient is φ = 4119552.

The previous prime is 13771973. The next prime is 13771999. The reversal of 13771992 is 29917731.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13771992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13771999) 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, 10948 + ... + 12140.

Almost surely, 213771992 is an apocalyptic number.

13771992 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 13771992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19056240).

13771992 is an abundant number, since it is smaller than the sum of its proper divisors (24340488).

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

13771992 is a wasteful number, since it uses less digits than its factorization.

13771992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1248 counting only the distinct ones).

The product of its digits is 23814, while the sum is 39.

The square root of 13771992 is about 3711.0634594412. The cubic root of 13771992 is about 239.6986495524.

The spelling of 13771992 in words is "thirteen million, seven hundred seventy-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1193 1443 1924 2386 2886 3579 3848 4772 5772 7158 9544 11544 14316 15509 28632 31018 44141 46527 62036 88282 93054 124072 132423 176564 186108 264846 353128 372216 529692 573833 1059384 1147666 1721499 2295332 3442998 4590664 6885996 13771992