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1264002630 = 2351143281317
BaseRepresentation
bin100101101010111…
…0010011001000110
310021002102222122020
41023111302121012
510042041041010
6325231544010
743215562602
oct11325623106
93232388566
101264002630
11599550980
122b338b006
13171b43267
14bdc30502
1575e7e470
hex4b572646

1264002630 has 128 divisors (see below), whose sum is σ = 3409122816. Its totient is φ = 297292800.

The previous prime is 1264002589. The next prime is 1264002647. The reversal of 1264002630 is 362004621.

1264002630 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1264002630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3987232 + ... + 3987548.

It is an arithmetic number, because the mean of its divisors is an integer number (26633772).

Almost surely, 21264002630 is an apocalyptic number.

1264002630 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 1264002630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704561408).

1264002630 is an abundant number, since it is smaller than the sum of its proper divisors (2145120186).

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

1264002630 is a wasteful number, since it uses less digits than its factorization.

1264002630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1264002630 is about 35552.8146565079. The cubic root of 1264002630 is about 1081.2247850491.

The spelling of 1264002630 in words is "one billion, two hundred sixty-four million, two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 281 317 330 430 473 562 634 645 843 946 951 1290 1405 1419 1585 1686 1902 2365 2810 2838 3091 3170 3487 4215 4730 4755 6182 6974 7095 8430 9273 9510 10461 12083 13631 14190 15455 17435 18546 20922 24166 27262 30910 34870 36249 40893 46365 52305 60415 68155 72498 81786 89077 92730 104610 120830 132913 136310 149941 178154 181245 204465 265826 267231 299882 362490 398739 408930 445385 449823 534462 664565 749705 797478 890770 899646 979847 1329130 1336155 1499410 1959694 1993695 2249115 2672310 2939541 3830311 3987390 4498230 4899235 5879082 7660622 9798470 11490933 14697705 19151555 22981866 29395410 38303110 42133421 57454665 84266842 114909330 126400263 210667105 252800526 421334210 632001315 1264002630