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2034131520 = 26355339979
BaseRepresentation
bin111100100111110…
…0110001001000000
312020202120120212110
41321033212021000
513131214202040
6533502255320
7101256555411
oct17117461100
95222516773
102034131520
1195423a133
12489287540
13265567a25
14154221808
15bd8a5980
hex793e6240

2034131520 has 112 divisors (see below), whose sum is σ = 6580388160. Its totient is φ = 532187136.

The previous prime is 2034131509. The next prime is 2034131531. The reversal of 2034131520 is 251314302.

It is an interprime number because it is at equal distance from previous prime (2034131509) and next prime (2034131531).

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, 30891 + ... + 70869.

Almost surely, 22034131520 is an apocalyptic number.

2034131520 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 2034131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290194080).

2034131520 is an abundant number, since it is smaller than the sum of its proper divisors (4546256640).

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

2034131520 is a wasteful number, since it uses less digits than its factorization.

2034131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40052 (or 40042 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2034131520 is about 45101.3472082598. The cubic root of 2034131520 is about 1267.0478311182.

Adding to 2034131520 its reverse (251314302), we get a palindrome (2285445822).

The spelling of 2034131520 in words is "two billion, thirty-four million, one hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 3180 3392 4240 5088 6360 8480 10176 12720 16960 25440 39979 50880 79958 119937 159916 199895 239874 319832 399790 479748 599685 639664 799580 959496 1199370 1279328 1599160 1918992 2118887 2398740 2558656 3198320 3837984 4237774 4797480 6356661 6396640 7675968 8475548 9594960 10594435 12713322 12793280 16951096 19189920 21188870 25426644 31783305 33902192 38379840 42377740 50853288 63566610 67804384 84755480 101706576 127133220 135608768 169510960 203413152 254266440 339021920 406826304 508532880 678043840 1017065760 2034131520