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2107058840 = 235317432287
BaseRepresentation
bin111110110010111…
…0010101010011000
312102211210200100022
41331211302222120
513303401340330
6545025330012
7103133463455
oct17545625230
95384720308
102107058840
1199141a547
124a9796908
132776bcaa3
1415dba682c
15c4eadae5
hex7d972a98

2107058840 has 64 divisors (see below), whose sum is σ = 4902543360. Its totient is φ = 814181760.

The previous prime is 2107058801. The next prime is 2107058851. The reversal of 2107058840 is 488507012.

It is a self number, because there is not a number n which added to its sum of digits gives 2107058840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920177 + ... + 922463.

It is an arithmetic number, because the mean of its divisors is an integer number (76602240).

Almost surely, 22107058840 is an apocalyptic number.

2107058840 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 2107058840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451271680).

2107058840 is an abundant number, since it is smaller than the sum of its proper divisors (2795484520).

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

2107058840 is a wasteful number, since it uses less digits than its factorization.

2107058840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 2107058840 is about 45902.7105953450. The cubic root of 2107058840 is about 1282.0123862728.

The spelling of 2107058840 in words is "two billion, one hundred seven million, fifty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 743 1240 1486 2287 2972 3715 4574 5944 7430 9148 11435 14860 18296 22870 23033 29720 45740 46066 70897 91480 92132 115165 141794 184264 230330 283588 354485 460660 567176 708970 921320 1417940 1699241 2835880 3398482 6796964 8496205 13593928 16992410 33984820 52676471 67969640 105352942 210705884 263382355 421411768 526764710 1053529420 2107058840