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2753997920 = 255235771297
BaseRepresentation
bin1010010000100110…
…1010110001100000
321002221010120220222
42210021222301200
521120010413140
61133135422212
7125150411312
oct24411526140
97087116828
102753997920
111193618443
1264a384968
1334b74178b
141c1a8b7b2
15111b9e5b5
hexa426ac60

2753997920 has 96 divisors (see below), whose sum is σ = 6806213568. Its totient is φ = 1051066368.

The previous prime is 2753997893. The next prime is 2753997931. The reversal of 2753997920 is 297993572.

It is a happy number.

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, 2122712 + ... + 2124008.

It is an arithmetic number, because the mean of its divisors is an integer number (70898058).

Almost surely, 22753997920 is an apocalyptic number.

2753997920 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 2753997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403106784).

2753997920 is an abundant number, since it is smaller than the sum of its proper divisors (4052215648).

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

2753997920 is a wasteful number, since it uses less digits than its factorization.

2753997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 53.

The square root of 2753997920 is about 52478.5472359897. The cubic root of 2753997920 is about 1401.6982656218.

The spelling of 2753997920 in words is "two billion, seven hundred fifty-three million, nine hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 577 736 920 1154 1297 1840 2308 2594 2885 3680 4616 5188 5770 6485 9232 10376 11540 12970 13271 18464 20752 23080 25940 26542 29831 41504 46160 51880 53084 59662 66355 92320 103760 106168 119324 132710 149155 207520 212336 238648 265420 298310 424672 477296 530840 596620 748369 954592 1061680 1193240 1496738 2123360 2386480 2993476 3741845 4772960 5986952 7483690 11973904 14967380 17212487 23947808 29934760 34424974 59869520 68849948 86062435 119739040 137699896 172124870 275399792 344249740 550799584 688499480 1376998960 2753997920