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2332080 = 243254179
BaseRepresentation
bin1000111001010110110000
311101111000100
420321112300
51044111310
6121552400
725552032
oct10712660
94344010
102332080
111353143
12945700
1363863a
14449c52
15310ec0
hex2395b0

2332080 has 120 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 599040.

The previous prime is 2332061. The next prime is 2332103. The reversal of 2332080 is 802332.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29481 + ... + 29559.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

22332080 is an apocalyptic number.

2332080 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 2332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2332080 is an abundant number, since it is smaller than the sum of its proper divisors (5792400).

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

2332080 is a wasteful number, since it uses less digits than its factorization.

2332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2332080 is about 1527.1149269128. The cubic root of 2332080 is about 132.6114879859.

The spelling of 2332080 in words is "two million, three hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 79 80 82 90 120 123 144 158 164 180 205 237 240 246 316 328 360 369 395 410 474 492 615 632 656 711 720 738 790 820 948 984 1185 1230 1264 1422 1476 1580 1640 1845 1896 1968 2370 2460 2844 2952 3160 3239 3280 3555 3690 3792 4740 4920 5688 5904 6320 6478 7110 7380 9480 9717 9840 11376 12956 14220 14760 16195 18960 19434 25912 28440 29151 29520 32390 38868 48585 51824 56880 58302 64780 77736 97170 116604 129560 145755 155472 194340 233208 259120 291510 388680 466416 583020 777360 1166040 2332080