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2310482080 = 255193124517
BaseRepresentation
bin1000100110110111…
…0010100010100000
312222000120122120101
42021231302202200
514212440411310
61021133352144
7111153526234
oct21155624240
95860518511
102310482080
11a86230425
12545938654
132aa8a527a
1417cbda5c4
15d7c9243a
hex89b728a0

2310482080 has 96 divisors (see below), whose sum is σ = 5931394560. Its totient is φ = 847272960.

The previous prime is 2310482029. The next prime is 2310482093. The reversal of 2310482080 is 802840132.

It is a super-2 number, since 2×23104820802 = 10676654884002252800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81982 + ... + 106498.

It is an arithmetic number, because the mean of its divisors is an integer number (61785360).

Almost surely, 22310482080 is an apocalyptic number.

2310482080 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 2310482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965697280).

2310482080 is an abundant number, since it is smaller than the sum of its proper divisors (3620912480).

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

2310482080 is a wasteful number, since it uses less digits than its factorization.

2310482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24582 (or 24574 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2310482080 is about 48067.4742419445. The cubic root of 2310482080 is about 1322.0083599634.

The spelling of 2310482080 in words is "two billion, three hundred ten million, four hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 76 80 95 124 152 155 160 190 248 304 310 380 496 589 608 620 760 992 1178 1240 1520 2356 2480 2945 3040 4712 4960 5890 9424 11780 18848 23560 24517 47120 49034 94240 98068 122585 196136 245170 392272 465823 490340 760027 784544 931646 980680 1520054 1863292 1961360 2329115 3040108 3726584 3800135 3922720 4658230 6080216 7453168 7600270 9316460 12160432 14440513 14906336 15200540 18632920 24320864 28881026 30401080 37265840 57762052 60802160 72202565 74531680 115524104 121604320 144405130 231048208 288810260 462096416 577620520 1155241040 2310482080