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2055064040 = 2351721114323
BaseRepresentation
bin111101001111101…
…1100100111101000
312022012222001212222
41322133130213220
513202044022130
6535531053212
7101632520231
oct17237344750
95265861788
102055064040
11965037037
124942a1208
132699b6733
14156d10088
15c063cce5
hex7a7dc9e8

2055064040 has 64 divisors (see below), whose sum is σ = 4919434560. Its totient is φ = 769950720.

The previous prime is 2055064021. The next prime is 2055064079. The reversal of 2055064040 is 404605502.

It is a super-2 number, since 2×20550640402 = 8446576417002243200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136319 + ... + 150641.

It is an arithmetic number, because the mean of its divisors is an integer number (76866165).

Almost surely, 22055064040 is an apocalyptic number.

2055064040 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 2055064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459717280).

2055064040 is an abundant number, since it is smaller than the sum of its proper divisors (2864370520).

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

2055064040 is a wasteful number, since it uses less digits than its factorization.

2055064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2055064040 is about 45332.8141636938. The cubic root of 2055064040 is about 1271.3792525822.

Adding to 2055064040 its reverse (404605502), we get a palindrome (2459669542).

The spelling of 2055064040 in words is "two billion, fifty-five million, sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 211 340 422 680 844 1055 1688 2110 3587 4220 7174 8440 14323 14348 17935 28646 28696 35870 57292 71615 71740 114584 143230 143480 243491 286460 486982 572920 973964 1217455 1947928 2434910 3022153 4869820 6044306 9739640 12088612 15110765 24177224 30221530 51376601 60443060 102753202 120886120 205506404 256883005 411012808 513766010 1027532020 2055064040