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1230863480 = 2357111672393
BaseRepresentation
bin100100101011101…
…0111110001111000
310011210002100021022
41021113113301320
510010100112410
6322045402012
742334111160
oct11127276170
93153070238
101230863480
11581876a50
122a4269308
1316800c4b2
14b96855a0
15730d5455
hex495d7c78

1230863480 has 128 divisors (see below), whose sum is σ = 3474938880. Its totient is φ = 381189120.

The previous prime is 1230863477. The next prime is 1230863509. The reversal of 1230863480 is 843680321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1230863480.

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 31 ways as a sum of consecutive naturals, for example, 513164 + ... + 515556.

It is an arithmetic number, because the mean of its divisors is an integer number (27147960).

Almost surely, 21230863480 is an apocalyptic number.

1230863480 is a gapful number since it is divisible by the number (10) 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 1230863480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737469440).

1230863480 is an abundant number, since it is smaller than the sum of its proper divisors (2244075400).

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

1230863480 is a wasteful number, since it uses less digits than its factorization.

1230863480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 1230863480 is about 35083.6640047758. The cubic root of 1230863480 is about 1071.6919341075.

The spelling of 1230863480 in words is "one billion, two hundred thirty million, eight hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 167 220 280 308 334 385 440 616 668 770 835 1169 1336 1540 1670 1837 2338 2393 3080 3340 3674 4676 4786 5845 6680 7348 9185 9352 9572 11690 11965 12859 14696 16751 18370 19144 23380 23930 25718 26323 33502 36740 46760 47860 51436 52646 64295 67004 73480 83755 95720 102872 105292 128590 131615 134008 167510 184261 210584 257180 263230 335020 368522 399631 514360 526460 670040 737044 799262 921305 1052920 1474088 1598524 1842610 1998155 2797417 3197048 3685220 3996310 4395941 5594834 7370440 7992620 8791882 11189668 13987085 15985240 17583764 21979705 22379336 27974170 30771587 35167528 43959410 55948340 61543174 87918820 111896680 123086348 153857935 175837640 246172696 307715870 615431740 1230863480