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2627326020 = 2235114099733
BaseRepresentation
bin1001110010011001…
…1101000001000100
320210002202222202010
42130212131001010
520340043413040
61112412414220
7122051621424
oct23446350104
96702688663
102627326020
111129069a20
12613a77370
1332b41caa7
141acd16484
151059cbe80
hex9c99d044

2627326020 has 96 divisors (see below), whose sum is σ = 8045735040. Its totient is φ = 635304960.

The previous prime is 2627325977. The next prime is 2627326033. The reversal of 2627326020 is 206237262.

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

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 31 ways as a sum of consecutive naturals, for example, 265074 + ... + 274806.

It is an arithmetic number, because the mean of its divisors is an integer number (83809740).

Almost surely, 22627326020 is an apocalyptic number.

2627326020 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 2627326020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022867520).

2627326020 is an abundant number, since it is smaller than the sum of its proper divisors (5418409020).

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

2627326020 is a wasteful number, since it uses less digits than its factorization.

2627326020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 2627326020 is about 51257.4484343495. The cubic root of 2627326020 is about 1379.8694163353.

The spelling of 2627326020 in words is "two billion, six hundred twenty-seven million, three hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 409 660 818 1227 1636 2045 2454 4090 4499 4908 6135 8180 8998 9733 12270 13497 17996 19466 22495 24540 26994 29199 38932 44990 48665 53988 58398 67485 89980 97330 107063 116796 134970 145995 194660 214126 269940 291990 321189 428252 535315 583980 642378 1070630 1284756 1605945 2141260 3211890 3980797 6423780 7961594 11942391 15923188 19903985 23884782 39807970 43788767 47769564 59711955 79615940 87577534 119423910 131366301 175155068 218943835 238847820 262732602 437887670 525465204 656831505 875775340 1313663010 2627326020