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1364258740 = 2251339713217
BaseRepresentation
bin101000101010000…
…1110111110110100
310112002002112011111
41101110032332310
510243222234430
6343212444404
745544002505
oct12124167664
93462075144
101364258740
116400a7869
12320a79704
131898464c0
14cd28abac
157eb84c2a
hex5150efb4

1364258740 has 48 divisors (see below), whose sum is σ = 3093329232. Its totient is φ = 502419456.

The previous prime is 1364258719. The next prime is 1364258771. The reversal of 1364258740 is 478524631.

It can be written as a sum of positive squares in 8 ways, for example, as 69122596 + 1295136144 = 8314^2 + 35988^2 .

It is a super-2 number, since 2×13642587402 = 3722403819332775200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1364258693 and 1364258702.

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, 96612 + ... + 109828.

It is an arithmetic number, because the mean of its divisors is an integer number (64444359).

Almost surely, 21364258740 is an apocalyptic number.

1364258740 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 1364258740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546664616).

1364258740 is an abundant number, since it is smaller than the sum of its proper divisors (1729070492).

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

1364258740 is a wasteful number, since it uses less digits than its factorization.

1364258740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13636 (or 13634 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 1364258740 is about 36935.8733482776. The cubic root of 1364258740 is about 1109.0869151477.

The spelling of 1364258740 in words is "one billion, three hundred sixty-four million, two hundred fifty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 397 794 1588 1985 3970 5161 7940 10322 13217 20644 25805 26434 51610 52868 66085 103220 132170 171821 264340 343642 687284 859105 1718210 3436420 5247149 10494298 20988596 26235745 52471490 68212937 104942980 136425874 272851748 341064685 682129370 1364258740