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14097440 = 255741307
BaseRepresentation
bin110101110001…
…110000100000
3222112020001102
4311301300200
512102104230
61222053532
7230553260
oct65616040
928466042
1014097440
117a59685
12487a2a8
132bc78a6
141c2d7a0
151387045
hexd71c20

14097440 has 96 divisors (see below), whose sum is σ = 39118464. Its totient is φ = 4700160.

The previous prime is 14097439. The next prime is 14097493. The reversal of 14097440 is 4479041.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 45767 + ... + 46073.

It is an arithmetic number, because the mean of its divisors is an integer number (407484).

Almost surely, 214097440 is an apocalyptic number.

14097440 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 14097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19559232).

14097440 is an abundant number, since it is smaller than the sum of its proper divisors (25021024).

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

14097440 is a wasteful number, since it uses less digits than its factorization.

14097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 14097440 is about 3754.6557764994. The cubic root of 14097440 is about 241.5720871807.

The spelling of 14097440 in words is "fourteen million, ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 307 328 410 560 574 614 656 820 1120 1148 1228 1312 1435 1535 1640 2149 2296 2456 2870 3070 3280 4298 4592 4912 5740 6140 6560 8596 9184 9824 10745 11480 12280 12587 17192 21490 22960 24560 25174 34384 42980 45920 49120 50348 62935 68768 85960 88109 100696 125870 171920 176218 201392 251740 343840 352436 402784 440545 503480 704872 881090 1006960 1409744 1762180 2013920 2819488 3524360 7048720 14097440