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14131692 = 22331743179
BaseRepresentation
bin110101111010…
…000111101100
3222120222001000
4311322013230
512104203232
61222520300
7231055161
oct65720754
928528030
1014131692
117a82393
124896090
132c0a363
141c3c068
15139227c
hexd7a1ec

14131692 has 96 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 4306176.

The previous prime is 14131681. The next prime is 14131699. The reversal of 14131692 is 29613141.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (14131699) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78859 + ... + 79037.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 214131692 is an apocalyptic number.

14131692 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 14131692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

14131692 is an abundant number, since it is smaller than the sum of its proper divisors (25785108).

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

14131692 is a wasteful number, since it uses less digits than its factorization.

14131692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 14131692 is about 3759.2142796068. The cubic root of 14131692 is about 241.7675750350.

The spelling of 14131692 in words is "fourteen million, one hundred thirty-one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 86 102 108 129 153 172 179 204 258 306 358 387 459 516 537 612 716 731 774 918 1074 1161 1462 1548 1611 1836 2148 2193 2322 2924 3043 3222 4386 4644 4833 6086 6444 6579 7697 8772 9129 9666 12172 13158 15394 18258 19332 19737 23091 26316 27387 30788 36516 39474 46182 54774 69273 78948 82161 92364 109548 130849 138546 164322 207819 261698 277092 328644 392547 415638 523396 785094 831276 1177641 1570188 2355282 3532923 4710564 7065846 14131692