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14241792 = 21231961
BaseRepresentation
bin110110010101…
…000000000000
3222210120001210
4312111000000
512121214132
61225130120
7232024155
oct66250000
928716053
1014241792
118048084
124929940
132c484c6
141c6a22c
1513b4bcc
hexd95000

14241792 has 104 divisors (see below), whose sum is σ = 40627360. Its totient is φ = 4423680.

The previous prime is 14241791. The next prime is 14241793. The reversal of 14241792 is 29714241.

It is an interprime number because it is at equal distance from previous prime (14241791) and next prime (14241793).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233442 + ... + 233502.

Almost surely, 214241792 is an apocalyptic number.

14241792 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 14241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313680).

14241792 is an abundant number, since it is smaller than the sum of its proper divisors (26385568).

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

14241792 is an equidigital number, since it uses as much as digits as its factorization.

14241792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 14241792 is about 3773.8298848782. The cubic root of 14241792 is about 242.3938217990.

The spelling of 14241792 in words is "fourteen million, two hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 128 152 183 192 228 244 256 304 366 384 456 488 512 608 732 768 912 976 1024 1159 1216 1464 1536 1824 1952 2048 2318 2432 2928 3072 3477 3648 3904 4096 4636 4864 5856 6144 6954 7296 7808 9272 9728 11712 12288 13908 14592 15616 18544 19456 23424 27816 29184 31232 37088 38912 46848 55632 58368 62464 74176 77824 93696 111264 116736 124928 148352 187392 222528 233472 249856 296704 374784 445056 593408 749568 890112 1186816 1780224 2373632 3560448 4747264 7120896 14241792