Search a number
-
+
40131126 = 234743823
BaseRepresentation
bin1001100100010…
…1101000110110
32210111212120000
42121011220312
540233144001
63552052130
7665052240
oct231055066
983455500
1040131126
1120720122
1211534046
138411439
145489090
1537caa86
hex2645a36

40131126 has 80 divisors (see below), whose sum is σ = 105287424. Its totient is φ = 11185776.

The previous prime is 40131121. The next prime is 40131137. The reversal of 40131126 is 62113104.

It is a happy number.

It is a super-2 number, since 2×401311262 = 3221014548055752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40131099 and 40131108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48351 + ... + 49173.

Almost surely, 240131126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52643712).

40131126 is an abundant number, since it is smaller than the sum of its proper divisors (65156298).

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

40131126 is a wasteful number, since it uses less digits than its factorization.

40131126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40131126 is about 6334.9132590747. The cubic root of 40131126 is about 342.3684855683.

The spelling of 40131126 in words is "forty million, one hundred thirty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 258 301 378 387 567 602 774 823 903 1134 1161 1646 1806 2322 2469 2709 3483 4938 5418 5761 6966 7407 8127 11522 14814 16254 17283 22221 24381 34566 35389 44442 48762 51849 66663 70778 103698 106167 133326 155547 212334 247723 311094 318501 466641 495446 637002 743169 933282 955503 1486338 1911006 2229507 2866509 4459014 5733018 6688521 13377042 20065563 40131126