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1213799040 = 27335193697
BaseRepresentation
bin100100001011001…
…0001101010000000
310010120222101021000
41020112101222000
54441213032130
6320235532000
742036056466
oct11026215200
93116871230
101213799040
11573181203
1229a5ba000
131646162ac
14b72c2836
1571864260
hex48591a80

1213799040 has 256 divisors, whose sum is σ = 4526352000. Its totient is φ = 306561024.

The previous prime is 1213799011. The next prime is 1213799047. The reversal of 1213799040 is 409973121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1213798986 and 1213799004.

It is not an unprimeable number, because it can be changed into a prime (1213799047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326472 + ... + 330168.

Almost surely, 21213799040 is an apocalyptic number.

1213799040 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 1213799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263176000).

1213799040 is an abundant number, since it is smaller than the sum of its proper divisors (3312552960).

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

1213799040 is a wasteful number, since it uses less digits than its factorization.

1213799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1213799040 is about 34839.6188268471. The cubic root of 1213799040 is about 1066.7162963019.

The spelling of 1213799040 in words is "one billion, two hundred thirteen million, seven hundred ninety-nine thousand, forty".