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12319440 = 243577333
BaseRepresentation
bin101110111111…
…101011010000
3212011220002120
4232333223100
511123210230
61120014240
7206466510
oct56775320
925156076
1012319440
116a54861
124161380
132724513
1418c9840
151135310
hexbbfad0

12319440 has 80 divisors (see below), whose sum is σ = 43651968. Its totient is φ = 2815488.

The previous prime is 12319427. The next prime is 12319459. The reversal of 12319440 is 4491321.

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 12319440.

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, 1987 + ... + 5346.

Almost surely, 212319440 is an apocalyptic number.

12319440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12319440 is an abundant number, since it is smaller than the sum of its proper divisors (31332528).

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

12319440 is a wasteful number, since it uses less digits than its factorization.

12319440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12319440 is about 3509.9059816468. The cubic root of 12319440 is about 230.9565706103.

The spelling of 12319440 in words is "twelve million, three hundred nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7333 14666 21999 29332 36665 43998 51331 58664 73330 87996 102662 109995 117328 146660 153993 175992 205324 219990 256655 293320 307986 351984 410648 439980 513310 586640 615972 769965 821296 879960 1026620 1231944 1539930 1759920 2053240 2463888 3079860 4106480 6159720 12319440