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40133430 = 23251721543
BaseRepresentation
bin1001100100011…
…0001100110110
32210111222201100
42121012030312
540233232210
63552110530
7665062041
oct231061466
983458640
1040133430
1120721927
1211535446
1384124bc
145489c58
1537cb5c0
hex2646336

40133430 has 72 divisors (see below), whose sum is σ = 110917872. Its totient is φ = 10066176.

The previous prime is 40133417. The next prime is 40133449. The reversal of 40133430 is 3433104.

It is a super-2 number, since 2×401334302 = 3221384407129800, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25239 + ... + 26781.

It is an arithmetic number, because the mean of its divisors is an integer number (1540526).

Almost surely, 240133430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40133430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55458936).

40133430 is an abundant number, since it is smaller than the sum of its proper divisors (70784442).

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

40133430 is a wasteful number, since it uses less digits than its factorization.

40133430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 40133430 is about 6335.0951058370. The cubic root of 40133430 is about 342.3750374394.

Adding to 40133430 its reverse (3433104), we get a palindrome (43566534).

The spelling of 40133430 in words is "forty million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1543 1734 2601 2890 3086 4335 4629 5202 7715 8670 9258 13005 13887 15430 23145 26010 26231 27774 46290 52462 69435 78693 131155 138870 157386 236079 262310 393465 445927 472158 786930 891854 1180395 1337781 2229635 2360790 2675562 4013343 4459270 6688905 8026686 13377810 20066715 40133430