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2319072 = 253721729
BaseRepresentation
bin1000110110001011100000
311100211011120
420312023200
51043202242
6121412240
725466100
oct10661340
94324146
102319072
111344398
1293a080
13632742
14445200
1530c1ec
hex2362e0

2319072 has 144 divisors (see below), whose sum is σ = 7756560. Its totient is φ = 602112.

The previous prime is 2319059. The next prime is 2319077. The reversal of 2319072 is 2709132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2319077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79954 + ... + 79982.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

22319072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2319072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280).

2319072 is an abundant number, since it is smaller than the sum of its proper divisors (5437488).

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

2319072 is a wasteful number, since it uses less digits than its factorization.

2319072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2319072 is about 1522.8499597794. The cubic root of 2319072 is about 132.3644656573.

The spelling of 2319072 in words is "two million, three hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 32 34 42 48 49 51 56 58 68 84 87 96 98 102 112 116 119 136 147 168 174 196 203 204 224 232 238 272 294 336 348 357 392 406 408 464 476 493 544 588 609 672 696 714 784 812 816 833 928 952 986 1176 1218 1392 1421 1428 1479 1568 1624 1632 1666 1904 1972 2352 2436 2499 2784 2842 2856 2958 3248 3332 3451 3808 3944 4263 4704 4872 4998 5684 5712 5916 6496 6664 6902 7888 8526 9744 9996 10353 11368 11424 11832 13328 13804 15776 17052 19488 19992 20706 22736 23664 24157 26656 27608 34104 39984 41412 45472 47328 48314 55216 68208 72471 79968 82824 96628 110432 136416 144942 165648 193256 289884 331296 386512 579768 773024 1159536 2319072