Search a number
-
+
40133124 = 22331721859
BaseRepresentation
bin1001100100011…
…0001000000100
32210111222022000
42121012020010
540233224444
63552105300
7665061123
oct231061004
983458260
1040133124
1120721679
1211535230
138412315
145489aba
1537cb469
hex2646204

40133124 has 48 divisors (see below), whose sum is σ = 110174400. Its totient is φ = 12590208.

The previous prime is 40133117. The next prime is 40133131. The reversal of 40133124 is 42133104.

It is an interprime number because it is at equal distance from previous prime (40133117) and next prime (40133131).

It is a super-2 number, since 2×401331242 = 3221335283998752, 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 = 40133097 and 40133106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9094 + ... + 12765.

It is an arithmetic number, because the mean of its divisors is an integer number (2295300).

Almost surely, 240133124 is an apocalyptic number.

It is an amenable number.

40133124 is an abundant number, since it is smaller than the sum of its proper divisors (70041276).

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

40133124 is a wasteful number, since it uses less digits than its factorization.

40133124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21889 (or 21881 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40133124 is about 6335.0709546145. The cubic root of 40133124 is about 342.3741672835.

Adding to 40133124 its reverse (42133104), we get a palindrome (82266228).

The spelling of 40133124 in words is "forty million, one hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 21859 43718 65577 87436 131154 196731 262308 371603 393462 590193 743206 786924 1114809 1180386 1486412 2229618 2360772 3344427 4459236 6688854 10033281 13377708 20066562 40133124