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2123050520 = 235417118233
BaseRepresentation
bin111111010001011…
…0010111000011000
312110221220010210202
41332202302320120
513322000104040
6550400201332
7103416426443
oct17642627030
95427803722
102123050520
1199a452308
124b3009248
1327aacb916
14161d6a65a
15c65bc015
hex7e8b2e18

2123050520 has 64 divisors (see below), whose sum is σ = 4962565440. Its totient is φ = 816793600.

The previous prime is 2123050499. The next prime is 2123050537. The reversal of 2123050520 is 250503212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2123050492 and 2123050501.

It is a congruent number.

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, 107324 + ... + 125556.

It is an arithmetic number, because the mean of its divisors is an integer number (77540085).

Almost surely, 22123050520 is an apocalyptic number.

2123050520 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 2123050520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481282720).

2123050520 is an abundant number, since it is smaller than the sum of its proper divisors (2839514920).

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

2123050520 is a wasteful number, since it uses less digits than its factorization.

2123050520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18356 (or 18352 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2123050520 is about 46076.5723551568. The cubic root of 2123050520 is about 1285.2475250787.

Adding to 2123050520 its reverse (250503212), we get a palindrome (2373553732).

The spelling of 2123050520 in words is "two billion, one hundred twenty-three million, fifty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 71 82 142 164 205 284 328 355 410 568 710 820 1420 1640 2840 2911 5822 11644 14555 18233 23288 29110 36466 58220 72932 91165 116440 145864 182330 364660 729320 747553 1294543 1495106 2589086 2990212 3737765 5178172 5980424 6472715 7475530 10356344 12945430 14951060 25890860 29902120 51781720 53076263 106152526 212305052 265381315 424610104 530762630 1061525260 2123050520