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2132010440 = 235713755579
BaseRepresentation
bin111111100010011…
…1110010111001000
312111120202100111122
41333010332113020
513331243313230
6551320214412
7103555534610
oct17704762710
95446670448
102132010440
119a4511aaa
124b600a408
1327c917c51
1416321da40
15c728bbe5
hex7f13e5c8

2132010440 has 64 divisors (see below), whose sum is σ = 5522428800. Its totient is φ = 725626368.

The previous prime is 2132010359. The next prime is 2132010469. The reversal of 2132010440 is 440102312.

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, 10571 + ... + 66149.

It is an arithmetic number, because the mean of its divisors is an integer number (86287950).

Almost surely, 22132010440 is an apocalyptic number.

2132010440 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 2132010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761214400).

2132010440 is an abundant number, since it is smaller than the sum of its proper divisors (3390418360).

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

2132010440 is a wasteful number, since it uses less digits than its factorization.

2132010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55734 (or 55730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2132010440 is about 46173.6985739717. The cubic root of 2132010440 is about 1287.0530328972.

Adding to 2132010440 its reverse (440102312), we get a palindrome (2572112752).

The spelling of 2132010440 in words is "two billion, one hundred thirty-two million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 548 685 959 1096 1370 1918 2740 3836 4795 5480 7672 9590 19180 38360 55579 111158 222316 277895 389053 444632 555790 778106 1111580 1556212 1945265 2223160 3112424 3890530 7614323 7781060 15228646 15562120 30457292 38071615 53300261 60914584 76143230 106600522 152286460 213201044 266501305 304572920 426402088 533002610 1066005220 2132010440