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1213466320 = 2451111312203
BaseRepresentation
bin100100001010100…
…0000011011010000
310010120100110212001
41020111000123100
54441121410240
6320224443344
742033202453
oct11025003320
93116313761
101213466320
11572a74230
1229a479554
1316452aa11
14b723749a
15717ea89a
hex485406d0

1213466320 has 80 divisors (see below), whose sum is σ = 3105283392. Its totient is φ = 437319680.

The previous prime is 1213466297. The next prime is 1213466333. The reversal of 1213466320 is 236643121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

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, 93339 + ... + 105541.

Almost surely, 21213466320 is an apocalyptic number.

1213466320 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 1213466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552641696).

1213466320 is an abundant number, since it is smaller than the sum of its proper divisors (1891817072).

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

1213466320 is a wasteful number, since it uses less digits than its factorization.

1213466320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12340 (or 12334 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1213466320 is about 34834.8434760370. The cubic root of 1213466320 is about 1066.6188199024.

The spelling of 1213466320 in words is "one billion, two hundred thirteen million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 440 452 565 880 904 1130 1243 1808 2260 2486 4520 4972 6215 9040 9944 12203 12430 19888 24406 24860 48812 49720 61015 97624 99440 122030 134233 195248 244060 268466 488120 536932 671165 976240 1073864 1342330 1378939 2147728 2684660 2757878 5369320 5515756 6894695 10738640 11031512 13789390 15168329 22063024 27578780 30336658 55157560 60673316 75841645 110315120 121346632 151683290 242693264 303366580 606733160 1213466320