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14731992 = 23321121989
BaseRepresentation
bin111000001100…
…101011011000
31000201110111100
4320030223120
512232410432
61243431400
7236135262
oct70145330
930643440
1014731992
118352400
124b25560
13308a672
141d56b32
15146007c
hexe0cad8

14731992 has 144 divisors (see below), whose sum is σ = 46683000. Its totient is φ = 4181760.

The previous prime is 14731991. The next prime is 14731993. The reversal of 14731992 is 29913741.

It is an interprime number because it is at equal distance from previous prime (14731991) and next prime (14731993).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14731991) 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 35 ways as a sum of consecutive naturals, for example, 165484 + ... + 165572.

Almost surely, 214731992 is an apocalyptic number.

14731992 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 14731992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23341500).

14731992 is an abundant number, since it is smaller than the sum of its proper divisors (31951008).

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

14731992 is a wasteful number, since it uses less digits than its factorization.

14731992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 14731992 is about 3838.2277160169. The cubic root of 14731992 is about 245.1435615646.

Adding to 14731992 its product of digits (13608), we get a square (14745600 = 38402).

The spelling of 14731992 in words is "fourteen million, seven hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 89 99 114 121 132 152 171 178 198 209 228 242 264 267 342 356 363 396 418 456 484 534 627 684 712 726 792 801 836 968 979 1068 1089 1254 1368 1452 1602 1672 1691 1881 1958 2136 2178 2299 2508 2904 2937 3204 3382 3762 3916 4356 4598 5016 5073 5874 6408 6764 6897 7524 7832 8712 8811 9196 10146 10769 11748 13528 13794 15048 15219 17622 18392 18601 20292 20691 21538 23496 27588 30438 32307 35244 37202 40584 41382 43076 55176 55803 60876 64614 70488 74404 82764 86152 96921 111606 121752 129228 148808 165528 167409 193842 204611 223212 258456 334818 387684 409222 446424 613833 669636 775368 818444 1227666 1339272 1636888 1841499 2455332 3682998 4910664 7365996 14731992