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2802630640 = 245314432551
BaseRepresentation
bin1010011100001100…
…1011111111110000
321020022122101110211
42213003023333300
521214433140030
61142034033504
7126310652545
oct24703137760
97208571424
102802630640
111209014977
12662718894
1335883b734
141c830abcc
151160a912a
hexa70cbff0

2802630640 has 80 divisors (see below), whose sum is σ = 6744139776. Its totient is φ = 1082016000.

The previous prime is 2802630617. The next prime is 2802630653. The reversal of 2802630640 is 460362082.

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

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097365 + ... + 1099915.

Almost surely, 22802630640 is an apocalyptic number.

2802630640 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 2802630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372069888).

2802630640 is an abundant number, since it is smaller than the sum of its proper divisors (3941509136).

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

2802630640 is a wasteful number, since it uses less digits than its factorization.

2802630640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2802630640 is about 52939.8775971384. The cubic root of 2802630640 is about 1409.9010107727.

The spelling of 2802630640 in words is "two billion, eight hundred two million, six hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 443 496 620 886 1240 1772 2215 2480 2551 3544 4430 5102 7088 8860 10204 12755 13733 17720 20408 25510 27466 35440 40816 51020 54932 68665 79081 102040 109864 137330 158162 204080 219728 274660 316324 395405 549320 632648 790810 1098640 1130093 1265296 1581620 2260186 3163240 4520372 5650465 6326480 9040744 11300930 18081488 22601860 35032883 45203720 70065766 90407440 140131532 175164415 280263064 350328830 560526128 700657660 1401315320 2802630640