Search a number
-
+
10842977040 = 2435729222557
BaseRepresentation
bin10100001100100101…
…01011001100010000
31000222122222022020020
422012102223030100
5134201300231130
64551534343440
7532461532650
oct120622531420
930878868206
1010842977040
11466463a155
12212735ab80
13103a539c5c
1474c0b8360
15436dc3e10
hex2864ab310

10842977040 has 160 divisors (see below), whose sum is σ = 39739956480. Its totient is φ = 2392922112.

The previous prime is 10842977029. The next prime is 10842977063. The reversal of 10842977040 is 4077924801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10842976983 and 10842977001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62559 + ... + 159998.

It is an arithmetic number, because the mean of its divisors is an integer number (248374728).

Almost surely, 210842977040 is an apocalyptic number.

10842977040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10842977040 is an abundant number, since it is smaller than the sum of its proper divisors (28896979440).

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

10842977040 is a wasteful number, since it uses less digits than its factorization.

10842977040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222609 (or 222603 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 10842977040 in words is "ten billion, eight hundred forty-two million, nine hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 9744 12180 16240 24360 48720 222557 445114 667671 890228 1112785 1335342 1557899 1780456 2225570 2670684 3115798 3338355 3560912 4451140 4673697 5341368 6231596 6454153 6676710 7789495 8902280 9347394 10682736 12463192 12908306 13353420 15578990 17804560 18694788 19362459 23368485 24926384 25816612 26706840 31157980 32270765 37389576 38724918 45179071 46736970 51633224 53413680 62315960 64541530 74779152 77449836 90358142 93473940 96812295 103266448 124631920 129083060 135537213 154899672 180716284 186947880 193624590 225895355 258166120 271074426 309799344 361432568 373895760 387249180 451790710 516332240 542148852 677686065 722865136 774498360 903581420 1084297704 1355372130 1548996720 1807162840 2168595408 2710744260 3614325680 5421488520 10842977040