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1264113732 = 223737406729
BaseRepresentation
bin100101101011000…
…1101100001000100
310021002122122001010
41023112031201010
510042103114412
6325234202220
743216534530
oct11326154104
93232578033
101264113732
115996173a2
122b3423370
13171b819bb
14bdc5cbc0
1575ea233c
hex4b58d844

1264113732 has 48 divisors (see below), whose sum is σ = 3462085760. Its totient is φ = 351412992.

The previous prime is 1264113731. The next prime is 1264113733. The reversal of 1264113732 is 2373114621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1264113731) and next prime (1264113733).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1264113732.

It is not an unprimeable number, because it can be changed into a prime (1264113731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200257 + ... + 206472.

Almost surely, 21264113732 is an apocalyptic number.

1264113732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1264113732 is an abundant number, since it is smaller than the sum of its proper divisors (2197972028).

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

1264113732 is a wasteful number, since it uses less digits than its factorization.

1264113732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406780 (or 406778 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 1264113732 is about 35554.3771144989. The cubic root of 1264113732 is about 1081.2564629148.

It can be divided in two parts, 1264113 and 732, that added together give a triangular number (1264845 = T1590).

The spelling of 1264113732 in words is "one billion, two hundred sixty-four million, one hundred thirteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 406729 813458 1220187 1626916 2440374 2847103 4880748 5694206 8541309 11388412 15048973 17082618 30097946 34165236 45146919 60195892 90293838 105342811 180587676 210685622 316028433 421371244 632056866 1264113732