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2993360 = 245173171
BaseRepresentation
bin1011011010110011010000
312122002010012
423122303100
51231241420
6144054052
734304666
oct13326320
95562105
102993360
111764a57
121004328
1380a626
1457cc36
153e1dc5
hex2dacd0

2993360 has 80 divisors (see below), whose sum is σ = 7713792. Its totient is φ = 1075200.

The previous prime is 2993357. The next prime is 2993363. The reversal of 2993360 is 633992.

2993360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2993357) and next prime (2993363).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42125 + ... + 42195.

22993360 is an apocalyptic number.

2993360 is a gapful number since it is divisible by the number (20) 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 2993360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856896).

2993360 is an abundant number, since it is smaller than the sum of its proper divisors (4720432).

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

2993360 is a wasteful number, since it uses less digits than its factorization.

2993360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 2993360 is about 1730.1329428688. The cubic root of 2993360 is about 144.1184724618.

The spelling of 2993360 in words is "two million, nine hundred ninety-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 71 80 85 124 136 142 155 170 248 272 284 310 340 355 496 527 568 620 680 710 1054 1136 1207 1240 1360 1420 2108 2201 2414 2480 2635 2840 4216 4402 4828 5270 5680 6035 8432 8804 9656 10540 11005 12070 17608 19312 21080 22010 24140 35216 37417 42160 44020 48280 74834 88040 96560 149668 176080 187085 299336 374170 598672 748340 1496680 2993360