Search a number
-
+
1040422152 = 2337114313093
BaseRepresentation
bin111110000000111…
…001010100001000
32200111201220212210
4332000321110020
54112322002102
6251123505120
734532304510
oct7600712410
92614656783
101040422152
11494322620
122505281a0
13137720c13
149c270840
156151836c
hex3e039508

1040422152 has 128 divisors (see below), whose sum is σ = 3318543360. Its totient is φ = 263934720.

The previous prime is 1040422139. The next prime is 1040422153. The reversal of 1040422152 is 2512240401.

It is a super-2 number, since 2×10404221522 = 2164956508744622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1040422153) 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, 72918 + ... + 86010.

It is an arithmetic number, because the mean of its divisors is an integer number (25926120).

Almost surely, 21040422152 is an apocalyptic number.

1040422152 is a gapful number since it is divisible by the number (12) 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 1040422152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659271680).

1040422152 is an abundant number, since it is smaller than the sum of its proper divisors (2278121208).

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

1040422152 is a wasteful number, since it uses less digits than its factorization.

1040422152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13163 (or 13159 counting only the distinct ones).

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

The square root of 1040422152 is about 32255.5755180403. The cubic root of 1040422152 is about 1013.2964709390.

Adding to 1040422152 its reverse (2512240401), we get a palindrome (3552662553).

The spelling of 1040422152 in words is "one billion, forty million, four hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 43 44 56 66 77 84 86 88 129 132 154 168 172 231 258 264 301 308 344 462 473 516 602 616 903 924 946 1032 1204 1419 1806 1848 1892 2408 2838 3311 3612 3784 5676 6622 7224 9933 11352 13093 13244 19866 26186 26488 39279 39732 52372 78558 79464 91651 104744 144023 157116 183302 274953 288046 314232 366604 432069 549906 562999 576092 733208 864138 1008161 1099812 1125998 1152184 1688997 1728276 2016322 2199624 2251996 3024483 3377994 3456552 3940993 4032644 4503992 6048966 6192989 6755988 7881986 8065288 11822979 12097932 12385978 13511976 15763972 18578967 23645958 24195864 24771956 31527944 37157934 43350923 47291916 49543912 74315868 86701846 94583832 130052769 148631736 173403692 260105538 346807384 520211076 1040422152