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14092974 = 2337231621
BaseRepresentation
bin110101110000…
…101010101110
3222111222221000
4311300222232
512101433344
61222021130
7230534250
oct65605256
928458830
1014092974
117a56295
1248777a6
132bc584c
141c2bcd0
151385a69
hexd70aae

14092974 has 64 divisors (see below), whose sum is σ = 37370880. Its totient is φ = 3849120.

The previous prime is 14092973. The next prime is 14092979. The reversal of 14092974 is 47929041.

It is a super-2 number, since 2×140929742 = 397223832329352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14092973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7884 + ... + 9504.

It is an arithmetic number, because the mean of its divisors is an integer number (583920).

Almost surely, 214092974 is an apocalyptic number.

14092974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14092974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18685440).

14092974 is an abundant number, since it is smaller than the sum of its proper divisors (23277906).

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

14092974 is a wasteful number, since it uses less digits than its factorization.

14092974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 14092974 is about 3754.0610011027. The cubic root of 14092974 is about 241.5465748681.

The spelling of 14092974 in words is "fourteen million, ninety-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 1621 2898 3242 4347 4863 8694 9726 11347 14589 22694 29178 34041 37283 43767 68082 74566 87534 102123 111849 204246 223698 260981 306369 335547 521962 612738 671094 782943 1006641 1565886 2013282 2348829 4697658 7046487 14092974