Search a number
-
+
14138736 = 2431937419
BaseRepresentation
bin110101111011…
…110101110000
3222121022200220
4311323311300
512104414421
61223013040
7231114543
oct65736560
928538626
1014138736
117a87707
12489a180
132c10621
141c4085a
1513943c6
hexd7bd70

14138736 has 80 divisors (see below), whose sum is σ = 39580800. Its totient is φ = 4333824.

The previous prime is 14138723. The next prime is 14138737. The reversal of 14138736 is 63783141.

It is a junction number, because it is equal to n+sod(n) for n = 14138697 and 14138706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14138737) 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, 33535 + ... + 33953.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 214138736 is an apocalyptic number.

14138736 is a gapful number since it is divisible by the number (16) 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 14138736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19790400).

14138736 is an abundant number, since it is smaller than the sum of its proper divisors (25442064).

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

14138736 is a wasteful number, since it uses less digits than its factorization.

14138736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 14138736 is about 3760.1510607953. The cubic root of 14138736 is about 241.8077383766.

The spelling of 14138736 in words is "fourteen million, one hundred thirty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 419 444 456 592 703 838 888 912 1257 1406 1676 1776 2109 2514 2812 3352 4218 5028 5624 6704 7961 8436 10056 11248 15503 15922 16872 20112 23883 31006 31844 33744 46509 47766 62012 63688 93018 95532 124024 127376 186036 191064 248048 294557 372072 382128 589114 744144 883671 1178228 1767342 2356456 3534684 4712912 7069368 14138736