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1230748768 = 2523472757
BaseRepresentation
bin100100101011011…
…1011110001100000
310011202212111220201
41021112323301200
510010032430033
6322043114544
742333122554
oct11126736140
93152774821
101230748768
115817a8847
122a4212a54
13167c9c212
14b9655864
15730b147d
hex495bbc60

1230748768 has 72 divisors (see below), whose sum is σ = 2586738672. Its totient is φ = 575334144.

The previous prime is 1230748747. The next prime is 1230748787. The reversal of 1230748768 is 8678470321.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1625446 + ... + 1626202.

It is an arithmetic number, because the mean of its divisors is an integer number (35926926).

Almost surely, 21230748768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230748768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293369336).

1230748768 is an abundant number, since it is smaller than the sum of its proper divisors (1355989904).

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

1230748768 is an equidigital number, since it uses as much as digits as its factorization.

1230748768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 1230748768 is about 35082.0291317364. The cubic root of 1230748768 is about 1071.6586404762.

It can be divided in two parts, 12307 and 48768, that added together give a triangular number (61075 = T349).

The spelling of 1230748768 in words is "one billion, two hundred thirty million, seven hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 184 188 368 376 736 752 757 1081 1504 1514 2162 2209 3028 4324 4418 6056 8648 8836 12112 17296 17411 17672 24224 34592 34822 35344 35579 50807 69644 70688 71158 101614 139288 142316 203228 278576 284632 406456 557152 569264 812912 818317 1138528 1625824 1636634 1672213 3273268 3344426 6546536 6688852 13093072 13377704 26186144 26755408 38460899 53510816 76921798 153843596 307687192 615374384 1230748768