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14397040 = 245747547
BaseRepresentation
bin110110111010…
…111001110000
31000002110000201
4312322321300
512141201130
61232324544
7233241610
oct66727160
930073021
1014397040
118143789
1249a3754
132ca1078
141caaa40
1513e5bca
hexdbae70

14397040 has 80 divisors (see below), whose sum is σ = 39140352. Its totient is φ = 4822272.

The previous prime is 14397029. The next prime is 14397049. The reversal of 14397040 is 4079341.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14397049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26047 + ... + 26593.

Almost surely, 214397040 is an apocalyptic number.

14397040 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 14397040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19570176).

14397040 is an abundant number, since it is smaller than the sum of its proper divisors (24743312).

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

14397040 is a wasteful number, since it uses less digits than its factorization.

14397040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 14397040 is about 3794.3431579128. The cubic root of 14397040 is about 243.2714089418.

The spelling of 14397040 in words is "fourteen million, three hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 547 560 658 752 940 1094 1316 1645 1880 2188 2632 2735 3290 3760 3829 4376 5264 5470 6580 7658 8752 10940 13160 15316 19145 21880 25709 26320 30632 38290 43760 51418 61264 76580 102836 128545 153160 179963 205672 257090 306320 359926 411344 514180 719852 899815 1028360 1439704 1799630 2056720 2879408 3599260 7198520 14397040