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1010024040 = 2335191393187
BaseRepresentation
bin111100001100111…
…011111001101000
32121101112112111210
4330030323321220
54032031232130
6244120153120
734013030334
oct7414737150
92541475453
101010024040
11479150013
122423087a0
1313133997c
14981da7c4
155da115b0
hex3c33be68

1010024040 has 128 divisors (see below), whose sum is σ = 3213504000. Its totient is φ = 253248768.

The previous prime is 1010024023. The next prime is 1010024083. The reversal of 1010024040 is 404200101.

It is a super-2 number, since 2×10100240402 = 2040297122755843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315327 + ... + 318513.

It is an arithmetic number, because the mean of its divisors is an integer number (25105500).

Almost surely, 21010024040 is an apocalyptic number.

1010024040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606752000).

1010024040 is an abundant number, since it is smaller than the sum of its proper divisors (2203479960).

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

1010024040 is a wasteful number, since it uses less digits than its factorization.

1010024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1010024040 is about 31780.8753812729. The cubic root of 1010024040 is about 1003.3302438313.

Adding to 1010024040 its reverse (404200101), we get a palindrome (1414224141).

The spelling of 1010024040 in words is "one billion, ten million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 139 152 190 228 278 285 380 417 456 556 570 695 760 834 1112 1140 1390 1668 2085 2280 2641 2780 3187 3336 4170 5282 5560 6374 7923 8340 9561 10564 12748 13205 15846 15935 16680 19122 21128 25496 26410 31692 31870 38244 39615 47805 52820 60553 63384 63740 76488 79230 95610 105640 121106 127480 158460 181659 191220 242212 302765 316920 363318 382440 442993 484424 605530 726636 885986 908295 1211060 1328979 1453272 1771972 1816590 2214965 2422120 2657958 3543944 3633180 4429930 5315916 6644895 7266360 8416867 8859860 10631832 13289790 16833734 17719720 25250601 26579580 33667468 42084335 50501202 53159160 67334936 84168670 101002404 126253005 168337340 202004808 252506010 336674680 505012020 1010024040