Search a number
-
+
13763988 = 22327193283
BaseRepresentation
bin110100100000…
…010110010100
3221220021122100
4310200112110
512010421423
61211002100
7224664150
oct64402624
927807570
1013763988
1178510a7
124739330
132b0bb94
141b84060
15131d343
hexd20594

13763988 has 72 divisors (see below), whose sum is σ = 40109888. Its totient is φ = 3898368.

The previous prime is 13763983. The next prime is 13764001. The reversal of 13763988 is 88936731.

It is a happy number.

13763988 is a `hidden beast` number, since 1 + 3 + 7 + 639 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13763983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48495 + ... + 48777.

Almost surely, 213763988 is an apocalyptic number.

13763988 is a gapful number since it is divisible by the number (18) 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 13763988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20054944).

13763988 is an abundant number, since it is smaller than the sum of its proper divisors (26345900).

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

13763988 is a wasteful number, since it uses less digits than its factorization.

13763988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 488 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13763988 is about 3709.9849056297. The cubic root of 13763988 is about 239.6522045699.

The spelling of 13763988 in words is "thirteen million, seven hundred sixty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 193 252 283 386 566 579 772 849 1132 1158 1351 1698 1737 1981 2316 2547 2702 3396 3474 3962 4053 5094 5404 5943 6948 7924 8106 10188 11886 12159 16212 17829 23772 24318 35658 48636 54619 71316 109238 163857 218476 327714 382333 491571 655428 764666 983142 1146999 1529332 1966284 2293998 3440997 4587996 6881994 13763988