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14291940 = 22351373251
BaseRepresentation
bin110110100001…
…001111100100
3222220002212010
4312201033210
512124320230
61230154220
7232323315
oct66411744
928802763
1014291940
118081823
124952970
132c65290
141c8060c
1513c49b0
hexda13e4

14291940 has 96 divisors (see below), whose sum is σ = 43860096. Its totient is φ = 3456000.

The previous prime is 14291939. The next prime is 14292001. The reversal of 14291940 is 4919241.

14291940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14291898 and 14291907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56815 + ... + 57065.

It is an arithmetic number, because the mean of its divisors is an integer number (456876).

Almost surely, 214291940 is an apocalyptic number.

14291940 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 14291940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930048).

14291940 is an abundant number, since it is smaller than the sum of its proper divisors (29568156).

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

14291940 is a wasteful number, since it uses less digits than its factorization.

14291940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 14291940 is about 3780.4682249690. The cubic root of 14291940 is about 242.6779931047.

The spelling of 14291940 in words is "fourteen million, two hundred ninety-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 73 78 130 146 156 195 219 251 260 292 365 390 438 502 730 753 780 876 949 1004 1095 1255 1460 1506 1898 2190 2510 2847 3012 3263 3765 3796 4380 4745 5020 5694 6526 7530 9490 9789 11388 13052 14235 15060 16315 18323 18980 19578 28470 32630 36646 39156 48945 54969 56940 65260 73292 91615 97890 109938 183230 195780 219876 238199 274845 366460 476398 549690 714597 952796 1099380 1190995 1429194 2381990 2858388 3572985 4763980 7145970 14291940