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14191440 = 2435292039
BaseRepresentation
bin110110001000…
…101101010000
3222200222222220
4312020231100
512113111230
61224101040
7231424314
oct66105520
928628886
1014191440
11801326a
124904780
132c2b603
141c55b44
1513a4d10
hexd88b50

14191440 has 80 divisors (see below), whose sum is σ = 45532800. Its totient is φ = 3652096.

The previous prime is 14191427. The next prime is 14191477. The reversal of 14191440 is 4419141.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14191440.

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, 5941 + ... + 7979.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 214191440 is an apocalyptic number.

14191440 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 14191440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

14191440 is an abundant number, since it is smaller than the sum of its proper divisors (31341360).

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

14191440 is a wasteful number, since it uses less digits than its factorization.

14191440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 14191440 is about 3767.1527709930. The cubic root of 14191440 is about 242.1078225445.

The spelling of 14191440 in words is "fourteen million, one hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2039 2320 3480 4078 6117 6960 8156 10195 12234 16312 20390 24468 30585 32624 40780 48936 59131 61170 81560 97872 118262 122340 163120 177393 236524 244680 295655 354786 473048 489360 591310 709572 886965 946096 1182620 1419144 1773930 2365240 2838288 3547860 4730480 7095720 14191440