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14093040 = 2435134517
BaseRepresentation
bin110101110000…
…101011110000
3222112000000110
4311300223300
512101434130
61222021320
7230534403
oct65605360
928460013
1014093040
117a56345
124877840
132bc58a0
141c2bd3a
151385ab0
hexd70af0

14093040 has 80 divisors (see below), whose sum is σ = 47059488. Its totient is φ = 3468288.

The previous prime is 14093029. The next prime is 14093083. The reversal of 14093040 is 4039041.

14093040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×140930402 = 397227552883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14092998 and 14093016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862 + ... + 5378.

Almost surely, 214093040 is an apocalyptic number.

14093040 is a gapful number since it is divisible by the number (10) 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 14093040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23529744).

14093040 is an abundant number, since it is smaller than the sum of its proper divisors (32966448).

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

14093040 is a wasteful number, since it uses less digits than its factorization.

14093040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 14093040 is about 3754.0697915729. The cubic root of 14093040 is about 241.5469519366.

The spelling of 14093040 in words is "fourteen million, ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4517 9034 13551 18068 22585 27102 36136 45170 54204 58721 67755 72272 90340 108408 117442 135510 176163 180680 216816 234884 271020 293605 352326 361360 469768 542040 587210 704652 880815 939536 1084080 1174420 1409304 1761630 2348840 2818608 3523260 4697680 7046520 14093040