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1013010240 = 26351195929
BaseRepresentation
bin111100011000010…
…100111101000000
32121121011020210210
4330120110331000
54033312311430
6244304154120
734050305424
oct7430247500
92547136723
101013010240
1147a8aa650
12243308940
13131b43c58
1498776b84
155de012b0
hex3c614f40

1013010240 has 112 divisors (see below), whose sum is σ = 3508735680. Its totient is φ = 245575680.

The previous prime is 1013010239. The next prime is 1013010241. The reversal of 1013010240 is 420103101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1013010239) and next prime (1013010241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013010241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37405 + ... + 58524.

Almost surely, 21013010240 is an apocalyptic number.

1013010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013010240 is an abundant number, since it is smaller than the sum of its proper divisors (2495725440).

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

1013010240 is a wasteful number, since it uses less digits than its factorization.

1013010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95960 (or 95950 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1013010240 is about 31827.8217916338. The cubic root of 1013010240 is about 1004.3180740651.

Adding to 1013010240 its reverse (420103101), we get a palindrome (1433113341).

The spelling of 1013010240 in words is "one billion, thirteen million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 95929 191858 287787 383716 479645 575574 767432 959290 1055219 1151148 1438935 1534864 1918580 2110438 2302296 2877870 3069728 3165657 3837160 4220876 4604592 5276095 5755740 6139456 6331314 7674320 8441752 9209184 10552190 11511480 12662628 15348640 15828285 16883504 18418368 21104380 23022960 25325256 30697280 31656570 33767008 42208760 46045920 50650512 63313140 67534016 84417520 92091840 101301024 126626280 168835040 202602048 253252560 337670080 506505120 1013010240