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1213234880 = 265111326513
BaseRepresentation
bin100100001010000…
…0111111011000000
310010112220201101012
41020110013323000
54441042004010
6320215500052
742031216634
oct11024077300
93115821335
101213234880
11572926360
1229a387628
13164479580
14b71b6dc4
15717a2005
hex48507ec0

1213234880 has 112 divisors (see below), whose sum is σ = 3394216224. Its totient is φ = 407224320.

The previous prime is 1213234849. The next prime is 1213234907. The reversal of 1213234880 is 884323121.

It is a super-2 number, since 2×12132348802 = 2943877748097228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 32504 + ... + 59016.

It is an arithmetic number, because the mean of its divisors is an integer number (30305502).

Almost surely, 21213234880 is an apocalyptic number.

1213234880 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 1213234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697108112).

1213234880 is an abundant number, since it is smaller than the sum of its proper divisors (2180981344).

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

1213234880 is a wasteful number, since it uses less digits than its factorization.

1213234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26554 (or 26544 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1213234880 is about 34831.5213563806. The cubic root of 1213234880 is about 1066.5510048200.

The spelling of 1213234880 in words is "one billion, two hundred thirteen million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 1040 1144 1430 1760 2080 2288 2860 3520 4160 4576 5720 9152 11440 22880 26513 45760 53026 106052 132565 212104 265130 291643 344669 424208 530260 583286 689338 848416 1060520 1166572 1378676 1458215 1696832 1723345 2121040 2333144 2757352 2916430 3446690 3791359 4242080 4666288 5514704 5832860 6893380 7582718 8484160 9332576 11029408 11665720 13786760 15165436 18665152 18956795 22058816 23331440 27573520 30330872 37913590 46662880 55147040 60661744 75827180 93325760 110294080 121323488 151654360 242646976 303308720 606617440 1213234880