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2130633024 = 2631335051
BaseRepresentation
bin111111011111110…
…1110000101000000
312111111011101001020
41332333232011000
513330420224044
6551230505440
7103541040042
oct17677560500
95444141036
102130633024
119a3761143
124b5665280
1327c555000
14162d81a92
15c70b8a19
hex7efee140

2130633024 has 112 divisors (see below), whose sum is σ = 6108070080. Its totient is φ = 655449600.

The previous prime is 2130632983. The next prime is 2130633059. The reversal of 2130633024 is 4203360312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2130632985 and 2130633003.

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, 419299 + ... + 424349.

It is an arithmetic number, because the mean of its divisors is an integer number (54536340).

Almost surely, 22130633024 is an apocalyptic number.

2130633024 is a gapful number since it is divisible by the number (24) 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 2130633024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054035040).

2130633024 is an abundant number, since it is smaller than the sum of its proper divisors (3977437056).

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

2130633024 is an equidigital number, since it uses as much as digits as its factorization.

2130633024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2130633024 is about 46158.7805731477. The cubic root of 2130633024 is about 1286.7758001460.

Adding to 2130633024 its reverse (4203360312), we get a palindrome (6333993336).

The spelling of 2130633024 in words is "two billion, one hundred thirty million, six hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2197 2496 2704 4056 4394 5051 5408 6591 8112 8788 10102 10816 13182 15153 16224 17576 20204 26364 30306 32448 35152 40408 52728 60612 65663 70304 80816 105456 121224 131326 140608 161632 196989 210912 242448 262652 323264 393978 421824 484896 525304 787956 853619 969792 1050608 1575912 1707238 2101216 2560857 3151824 3414476 4202432 5121714 6303648 6828952 10243428 11097047 12607296 13657904 20486856 22194094 27315808 33291141 40973712 44388188 54631616 66582282 81947424 88776376 133164564 163894848 177552752 266329128 355105504 532658256 710211008 1065316512 2130633024