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2031413400 = 2332527611483
BaseRepresentation
bin111100100010100…
…1110100010011000
312020120110111022100
41321011032202120
513130020212100
6533324123400
7101224505022
oct17105164230
95216414270
102031413400
11952752a55
12488396560
13264b25783
14153b15012
15bd51a400
hex7914e898

2031413400 has 144 divisors (see below), whose sum is σ = 6835734360. Its totient is φ = 540633600.

The previous prime is 2031413393. The next prime is 2031413411. The reversal of 2031413400 is 43141302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1369059 + ... + 1370541.

Almost surely, 22031413400 is an apocalyptic number.

2031413400 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 2031413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417867180).

2031413400 is an abundant number, since it is smaller than the sum of its proper divisors (4804320960).

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

2031413400 is a wasteful number, since it uses less digits than its factorization.

2031413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2031413400 is about 45071.2036670866. The cubic root of 2031413400 is about 1266.4832128896.

Adding to 2031413400 its reverse (43141302), we get a palindrome (2074554702).

The spelling of 2031413400 in words is "two billion, thirty-one million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 761 900 1483 1522 1800 2283 2966 3044 3805 4449 4566 5932 6088 6849 7415 7610 8898 9132 11415 11864 13347 13698 14830 15220 17796 18264 19025 22245 22830 26694 27396 29660 30440 34245 35592 37075 38050 44490 45660 53388 54792 57075 59320 66735 68490 74150 76100 88980 91320 106776 111225 114150 133470 136980 148300 152200 171225 177960 222450 228300 266940 273960 296600 333675 342450 444900 456600 533880 667350 684900 889800 1128563 1334700 1369800 2257126 2669400 3385689 4514252 5642815 6771378 9028504 10157067 11285630 13542756 16928445 20314134 22571260 27085512 28214075 33856890 40628268 45142520 50785335 56428150 67713780 81256536 84642225 101570670 112856300 135427560 169284450 203141340 225712600 253926675 338568900 406282680 507853350 677137800 1015706700 2031413400