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2670220560 = 243575329989
BaseRepresentation
bin1001111100101000…
…0101010100010000
320220002111020222210
42133022011110100
520432034024220
61120544032120
7123112333410
oct23712052420
96802436883
102670220560
1111502a7257
12626302640
1333728ac87
141b48c0640
151096516e0
hex9f285510

2670220560 has 160 divisors (see below), whose sum is σ = 9639025920. Its totient is φ = 598800384.

The previous prime is 2670220547. The next prime is 2670220561. The reversal of 2670220560 is 650220762.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2670220561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 74046 + ... + 104034.

It is an arithmetic number, because the mean of its divisors is an integer number (60243912).

Almost surely, 22670220560 is an apocalyptic number.

2670220560 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 2670220560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819512960).

2670220560 is an abundant number, since it is smaller than the sum of its proper divisors (6968805360).

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

2670220560 is a wasteful number, since it uses less digits than its factorization.

2670220560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30065 (or 30059 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2670220560 is about 51674.1769165219. The cubic root of 2670220560 is about 1387.3383082419.

The spelling of 2670220560 in words is "two billion, six hundred seventy million, two hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 140 159 168 210 212 240 265 280 318 336 371 420 424 530 560 636 742 795 840 848 1060 1113 1272 1484 1590 1680 1855 2120 2226 2544 2968 3180 3710 4240 4452 5565 5936 6360 7420 8904 11130 12720 14840 17808 22260 29680 29989 44520 59978 89040 89967 119956 149945 179934 209923 239912 299890 359868 419846 449835 479824 599780 629769 719736 839692 899670 1049615 1199560 1259538 1439472 1589417 1679384 1799340 2099230 2399120 2519076 3148845 3178834 3358768 3598680 4198460 4768251 5038152 6297690 6357668 7197360 7947085 8396920 9536502 10076304 11125919 12595380 12715336 15894170 16793840 19073004 22251838 23841255 25190760 25430672 31788340 33377757 38146008 44503676 47682510 50381520 55629595 63576680 66755514 76292016 89007352 95365020 111259190 127153360 133511028 166888785 178014704 190730040 222518380 267022056 333777570 381460080 445036760 534044112 667555140 890073520 1335110280 2670220560