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1213712320 = 2658345697
BaseRepresentation
bin100100001010111…
…1100011111000000
310010120210222022011
41020111330133000
54441202243240
6320234022304
742035245612
oct11025743700
93116728264
101213712320
11573122037
1229a577994
131645b5992
14b729cdb2
15718486ea
hex4857c7c0

1213712320 has 56 divisors (see below), whose sum is σ = 2925037584. Its totient is φ = 479625216.

The previous prime is 1213712273. The next prime is 1213712327. The reversal of 1213712320 is 232173121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1213712291 and 1213712300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213712327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3712 + ... + 49408.

It is an arithmetic number, because the mean of its divisors is an integer number (52232814).

Almost surely, 21213712320 is an apocalyptic number.

1213712320 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 1213712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462518792).

1213712320 is an abundant number, since it is smaller than the sum of its proper divisors (1711325264).

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

1213712320 is an equidigital number, since it uses as much as digits as its factorization.

1213712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45797 (or 45787 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1213712320 is about 34838.3742445023. The cubic root of 1213712320 is about 1066.6908918109.

Adding to 1213712320 its reverse (232173121), we get a palindrome (1445885441).

The spelling of 1213712320 in words is "one billion, two hundred thirteen million, seven hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 320 332 415 664 830 1328 1660 2656 3320 5312 6640 13280 26560 45697 91394 182788 228485 365576 456970 731152 913940 1462304 1827880 2924608 3655760 3792851 7311520 7585702 14623040 15171404 18964255 30342808 37928510 60685616 75857020 121371232 151714040 242742464 303428080 606856160 1213712320