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1264661430 = 235314728933
BaseRepresentation
bin100101101100001…
…0011001110110110
310021010200110100020
41023120103032312
510042223131210
6325254030010
743224305364
oct11330231666
93233613306
101264661430
1159996093a
122b3648306
13172014096
14bdd62634
157605e770
hex4b6133b6

1264661430 has 64 divisors (see below), whose sum is σ = 3199868928. Its totient is φ = 319409280.

The previous prime is 1264661393. The next prime is 1264661479. The reversal of 1264661430 is 341664621.

1264661430 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1264661391 and 1264661400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29244 + ... + 58176.

It is an arithmetic number, because the mean of its divisors is an integer number (49997952).

Almost surely, 21264661430 is an apocalyptic number.

1264661430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264661430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599934464).

1264661430 is an abundant number, since it is smaller than the sum of its proper divisors (1935207498).

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

1264661430 is a wasteful number, since it uses less digits than its factorization.

1264661430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29021.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1264661430 is about 35562.0785388031. The cubic root of 1264661430 is about 1081.4125977310.

The spelling of 1264661430 in words is "one billion, two hundred sixty-four million, six hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 47 62 93 94 141 155 186 235 282 310 465 470 705 930 1410 1457 2914 4371 7285 8742 14570 21855 28933 43710 57866 86799 144665 173598 289330 433995 867990 896923 1359851 1793846 2690769 2719702 4079553 4484615 5381538 6799255 8159106 8969230 13453845 13598510 20397765 26907690 40795530 42155381 84310762 126466143 210776905 252932286 421553810 632330715 1264661430