Search a number
-
+
40125300 = 223521311021
BaseRepresentation
bin1001100100010…
…0001101110100
32210111120120020
42121010031310
540233002200
63552005140
7665026245
oct231041564
983446506
1040125300
1120716806
12115307b0
13840b8a7
145486ccc
1537c8ea0
hex2644374

40125300 has 72 divisors (see below), whose sum is σ = 117096672. Its totient is φ = 10608000.

The previous prime is 40125277. The next prime is 40125301. The reversal of 40125300 is 352104.

It is a super-2 number, since 2×401253002 = 3220079400180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40125300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40125301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38790 + ... + 39810.

Almost surely, 240125300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58548336).

40125300 is an abundant number, since it is smaller than the sum of its proper divisors (76971372).

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

40125300 is a wasteful number, since it uses less digits than its factorization.

40125300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 40125300 is about 6334.4534097268. The cubic root of 40125300 is about 342.3519170879.

Adding to 40125300 its reverse (352104), we get a palindrome (40477404).

The spelling of 40125300 in words is "forty million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1021 1310 1572 1965 2042 2620 3063 3275 3930 4084 5105 6126 6550 7860 9825 10210 12252 13100 15315 19650 20420 25525 30630 39300 51050 61260 76575 102100 133751 153150 267502 306300 401253 535004 668755 802506 1337510 1605012 2006265 2675020 3343775 4012530 6687550 8025060 10031325 13375100 20062650 40125300