Search a number
-
+
1015042440 = 233523616029
BaseRepresentation
bin111100100000000…
…101000110001000
32121201222111110110
4330200011012020
54034322324230
6244415514320
734103501256
oct7440050610
92551874413
101015042440
11480a68455
12243b289a0
131323a5c39
1498b455d6
155e1a34b0
hex3c805188

1015042440 has 128 divisors (see below), whose sum is σ = 3230150400. Its totient is φ = 254622720.

The previous prime is 1015042421. The next prime is 1015042447. The reversal of 1015042440 is 442405101.

It is a happy number.

It is a super-2 number, since 2×10150424402 = 2060622310002307200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1015042447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165346 + ... + 171374.

It is an arithmetic number, because the mean of its divisors is an integer number (25235550).

Almost surely, 21015042440 is an apocalyptic number.

1015042440 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 1015042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615075200).

1015042440 is an abundant number, since it is smaller than the sum of its proper divisors (2215107960).

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

1015042440 is a wasteful number, since it uses less digits than its factorization.

1015042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1015042440 is about 31859.7306956603. The cubic root of 1015042440 is about 1004.9892130225.

Adding to 1015042440 its reverse (442405101), we get a palindrome (1457447541).

The spelling of 1015042440 in words is "one billion, fifteen million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 61 69 92 115 120 122 138 183 184 230 244 276 305 345 366 460 488 552 610 690 732 915 920 1220 1380 1403 1464 1830 2440 2760 2806 3660 4209 5612 6029 7015 7320 8418 11224 12058 14030 16836 18087 21045 24116 28060 30145 33672 36174 42090 48232 56120 60290 72348 84180 90435 120580 138667 144696 168360 180870 241160 277334 361740 367769 416001 554668 693335 723480 735538 832002 1103307 1109336 1386670 1471076 1664004 1838845 2080005 2206614 2773340 2942152 3328008 3677690 4160010 4413228 5516535 5546680 7355380 8320020 8458687 8826456 11033070 14710760 16640040 16917374 22066140 25376061 33834748 42293435 44132280 50752122 67669496 84586870 101504244 126880305 169173740 203008488 253760610 338347480 507521220 1015042440