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402663690 = 2335111310429
BaseRepresentation
bin11000000000000…
…010100100001010
31001001200102202000
4120000002210022
51311040214230
6103542251430
712656404422
oct3000024412
91031612660
10402663690
11197325210
12b2a26b76
1365564b50
143b699482
152553cb60
hex1800290a

402663690 has 128 divisors (see below), whose sum is σ = 1261612800. Its totient is φ = 90097920.

The previous prime is 402663689. The next prime is 402663721. The reversal of 402663690 is 96366204.

402663690 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4026636902 = 324276094488832200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33396 + ... + 43824.

It is an arithmetic number, because the mean of its divisors is an integer number (9856350).

Almost surely, 2402663690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402663690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630806400).

402663690 is an abundant number, since it is smaller than the sum of its proper divisors (858949110).

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

402663690 is a wasteful number, since it uses less digits than its factorization.

402663690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10463 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 402663690 is about 20066.4817544083. The cubic root of 402663690 is about 738.4382023124.

It can be divided in two parts, 40266 and 3690, that added together give a triangular number (43956 = T296).

The spelling of 402663690 in words is "four hundred two million, six hundred sixty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1287 1430 1485 1755 2145 2574 2970 3510 3861 4290 6435 7722 10429 12870 19305 20858 31287 38610 52145 62574 93861 104290 114719 135577 156435 187722 229438 271154 281583 312870 344157 406731 469305 563166 573595 677885 688314 813462 938610 1032471 1147190 1220193 1355770 1407915 1491347 1720785 2033655 2064942 2440386 2815830 2982694 3097413 3441570 3660579 4067310 4474041 5162355 6100965 6194826 7321158 7456735 8948082 10324710 12201930 13422123 14913470 15487065 18302895 22370205 26844246 30974130 36605790 40266369 44740410 67110615 80532738 134221230 201331845 402663690