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1263740940 = 223557112307
BaseRepresentation
bin100101101010011…
…0010100000001100
310021001221200200000
41023110302200030
510042004202230
6325222204300
743213422630
oct11324624014
93231850600
101263740940
11599392300
122b3283690
13171a81107
14bdba2dc0
1575e2bb60
hex4b53280c

1263740940 has 432 divisors, whose sum is σ = 5010061056. Its totient is φ = 261740160.

The previous prime is 1263740923. The next prime is 1263740963. The reversal of 1263740940 is 490473621.

1263740940 is a `hidden beast` number, since 12 + 637 + 4 + 0 + 9 + 4 + 0 = 666.

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 = 1263740895 and 1263740904.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4116267 + ... + 4116573.

Almost surely, 21263740940 is an apocalyptic number.

1263740940 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 1263740940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505030528).

1263740940 is an abundant number, since it is smaller than the sum of its proper divisors (3746320116).

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

1263740940 is a wasteful number, since it uses less digits than its factorization.

1263740940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1263740940 is about 35549.1341666713. The cubic root of 1263740940 is about 1081.1501635687.

The spelling of 1263740940 in words is "one billion, two hundred sixty-three million, seven hundred forty thousand, nine hundred forty".