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2053863280 = 245710136313
BaseRepresentation
bin111101001101011…
…0111011101110000
312022010201001202101
41322122313131300
513201242111110
6535445230144
7101616356410
oct17232673560
95263631671
102053863280
11964396977
12493a02354
13269686021
14156aba640
15c04a213a
hex7a6b7770

2053863280 has 80 divisors (see below), whose sum is σ = 5511593664. Its totient is φ = 697190400.

The previous prime is 2053863271. The next prime is 2053863323. The reversal of 2053863280 is 823683502.

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

It is a congruent number.

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, 38404 + ... + 74716.

Almost surely, 22053863280 is an apocalyptic number.

2053863280 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 2053863280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755796832).

2053863280 is an abundant number, since it is smaller than the sum of its proper divisors (3457730384).

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

2053863280 is a wasteful number, since it uses less digits than its factorization.

2053863280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36434 (or 36428 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 2053863280 is about 45319.5684004162. The cubic root of 2053863280 is about 1271.1315849103.

The spelling of 2053863280 in words is "two billion, fifty-three million, eight hundred sixty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 404 505 560 707 808 1010 1414 1616 2020 2828 3535 4040 5656 7070 8080 11312 14140 28280 36313 56560 72626 145252 181565 254191 290504 363130 508382 581008 726260 1016764 1270955 1452520 2033528 2541910 2905040 3667613 4067056 5083820 7335226 10167640 14670452 18338065 20335280 25673291 29340904 36676130 51346582 58681808 73352260 102693164 128366455 146704520 205386328 256732910 293409040 410772656 513465820 1026931640 2053863280