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1264229136 = 243229632
BaseRepresentation
bin100101101011010…
…1001101100010000
310021002212111100100
41023112221230100
510042120313021
6325240452400
743220525142
oct11326515420
93232774310
101264229136
11599696075
122b347a100
13171bc23a1
14bdc8cc92
1575ec6626
hex4b5a9b10

1264229136 has 45 divisors (see below), whose sum is σ = 3539280199. Its totient is φ = 421267488.

The previous prime is 1264229129. The next prime is 1264229143. The reversal of 1264229136 is 6319224621.

It is a happy number.

The square root of 1264229136 is 35556.

It is a perfect power (a square), and thus also a powerful number.

1264229136 is a `hidden beast` number, since 1 + 2 + 642 + 2 + 9 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1264229129) and next prime (1264229143).

It is a super-2 number, since 2×12642291362 = 3196550616622612992, which contains 22 as substring.

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

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1264229136.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 425191 + ... + 428153.

Almost surely, 21264229136 is an apocalyptic number.

1264229136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1264229136 is the 35556-th square number.

It is an amenable number.

1264229136 is an abundant number, since it is smaller than the sum of its proper divisors (2275051063).

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

1264229136 is an frugal number, since it uses more digits than its factorization.

1264229136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940 (or 2968 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The cubic root of 1264229136 is about 1081.2893654195.

Multiplying 1264229136 by its sum of digits (36), we get a square (45512248896 = 2133362).

1264229136 divided by its sum of digits (36) gives a square (35117476 = 59262).

It can be divided in two parts, 1264 and 229136, that added together give a square (230400 = 4802).

The spelling of 1264229136 in words is "one billion, two hundred sixty-four million, two hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2963 5926 8889 11852 17778 23704 26667 35556 47408 53334 71112 106668 142224 213336 426672 8779369 17558738 26338107 35117476 52676214 70234952 79014321 105352428 140469904 158028642 210704856 316057284 421409712 632114568 1264229136