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1290152630 = 251319237743
BaseRepresentation
bin100110011100110…
…0010101010110110
310022220122112200202
41030321202222312
510120234341010
6332004240502
743654054634
oct11471425266
93286575622
101290152630
11602291848
123000a0132
1317739aa30
14c34ba354
15783e76a5
hex4ce62ab6

1290152630 has 96 divisors (see below), whose sum is σ = 2714451264. Its totient is φ = 438504192.

The previous prime is 1290152599. The next prime is 1290152641. The reversal of 1290152630 is 362510921.

It is a junction number, because it is equal to n+sod(n) for n = 1290152593 and 1290152602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1736039 + ... + 1736781.

It is an arithmetic number, because the mean of its divisors is an integer number (28275534).

Almost surely, 21290152630 is an apocalyptic number.

1290152630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1290152630 is an abundant number, since it is smaller than the sum of its proper divisors (1424298634).

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

1290152630 is a wasteful number, since it uses less digits than its factorization.

1290152630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1290152630 is about 35918.6947145912. The cubic root of 1290152630 is about 1088.6301648527.

The spelling of 1290152630 in words is "one billion, two hundred ninety million, one hundred fifty-two thousand, six hundred thirty".

Divisors: 1 2 5 10 13 19 26 37 38 65 74 95 130 185 190 247 361 370 481 494 703 722 743 962 1235 1406 1486 1805 2405 2470 3515 3610 3715 4693 4810 7030 7430 9139 9386 9659 13357 14117 18278 19318 23465 26714 27491 28234 45695 46930 48295 54982 66785 70585 91390 96590 133570 137455 141170 173641 183521 268223 274910 347282 357383 367042 522329 536446 714766 868205 917605 1044658 1341115 1736410 1786915 1835210 2611645 2682230 3486899 3573830 5223290 6790277 6973798 9924251 13580554 17434495 19848502 33951385 34868990 49621255 67902770 99242510 129015263 258030526 645076315 1290152630