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1264320148 = 2272132711831
BaseRepresentation
bin100101101011011…
…1111111010010100
310021010001010012011
41023112333322110
510042131221043
6325242434004
743221354400
oct11326777224
93233033164
101264320148
11599748493
122b3502904
13171c24940
14bdcb4100
1575ee359d
hex4b5bfe94

1264320148 has 72 divisors (see below), whose sum is σ = 2783526144. Its totient is φ = 498052800.

The previous prime is 1264320077. The next prime is 1264320149. The reversal of 1264320148 is 8410234621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264320149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689593 + ... + 691423.

Almost surely, 21264320148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264320148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391763072).

1264320148 is an abundant number, since it is smaller than the sum of its proper divisors (1519205996).

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

1264320148 is a wasteful number, since it uses less digits than its factorization.

1264320148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1264320148 is about 35557.2798172189. The cubic root of 1264320148 is about 1081.3153121785.

Adding to 1264320148 its reverse (8410234621), we get a palindrome (9674554769).

The spelling of 1264320148 in words is "one billion, two hundred sixty-four million, three hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 271 364 542 637 1084 1274 1831 1897 2548 3523 3662 3794 7046 7324 7588 12817 13279 14092 23803 24661 25634 26558 47606 49322 51268 53116 89719 95212 98644 166621 172627 179438 333242 345254 358876 496201 666484 690508 992402 1166347 1984804 2332694 3473407 4665388 6450613 6946814 12901226 13893628 24313849 25802452 45154291 48627698 90308582 97255396 180617164 316080037 632160074 1264320148