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2062056400 = 2452431011187
BaseRepresentation
bin111101011101000…
…0111101111010000
312022201010022121021
41322322013233100
513210341301100
6540341005224
7102046122145
oct17272075720
95281108537
102062056400
11968a82548
124966b3814
1326b294321
14157c103cc
15c106ea1a
hex7ae87bd0

2062056400 has 120 divisors (see below), whose sum is σ = 5123805984. Its totient is φ = 796992000.

The previous prime is 2062056391. The next prime is 2062056407. The reversal of 2062056400 is 46502602.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2062056407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1736607 + ... + 1737793.

Almost surely, 22062056400 is an apocalyptic number.

2062056400 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 2062056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561902992).

2062056400 is an abundant number, since it is smaller than the sum of its proper divisors (3061749584).

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

2062056400 is a wasteful number, since it uses less digits than its factorization.

2062056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2062056400 is about 45409.8711735675. The cubic root of 2062056400 is about 1272.8195771645.

The spelling of 2062056400 in words is "two billion, sixty-two million, fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 101 172 200 202 215 344 400 404 430 505 688 808 860 1010 1075 1187 1616 1720 2020 2150 2374 2525 3440 4040 4300 4343 4748 5050 5935 8080 8600 8686 9496 10100 11870 17200 17372 18992 20200 21715 23740 29675 34744 40400 43430 47480 51041 59350 69488 86860 94960 102082 108575 118700 119887 173720 204164 217150 237400 239774 255205 347440 408328 434300 474800 479548 510410 599435 816656 868600 959096 1020820 1198870 1276025 1737200 1918192 2041640 2397740 2552050 2997175 4083280 4795480 5104100 5155141 5994350 9590960 10208200 10310282 11988700 20416400 20620564 23977400 25775705 41241128 47954800 51551410 82482256 103102820 128878525 206205640 257757050 412411280 515514100 1031028200 2062056400