Search a number
-
+
40174020 = 22325307727
BaseRepresentation
bin1001100101000…
…0000111000100
32210121001101200
42121100013010
540241032040
63553022500
7665321265
oct231200704
983531350
1040174020
112074a377
1211554a30
138427b13
14549a96c
1537d8630
hex26501c4

40174020 has 72 divisors (see below), whose sum is σ = 122426304. Its totient is φ = 10663488.

The previous prime is 40174007. The next prime is 40174027. The reversal of 40174020 is 2047104.

It is a happy number.

It is a super-2 number, since 2×401740202 = 3227903765920800, 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 = 40173984 and 40174002.

It is not an unprimeable number, because it can be changed into a prime (40174027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54897 + ... + 55623.

Almost surely, 240174020 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 40174020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61213152).

40174020 is an abundant number, since it is smaller than the sum of its proper divisors (82252284).

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

40174020 is a wasteful number, since it uses less digits than its factorization.

40174020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40174020 is about 6338.2978787684. The cubic root of 40174020 is about 342.4904218821.

The spelling of 40174020 in words is "forty million, one hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 727 921 1228 1454 1535 1842 2181 2763 2908 3070 3635 3684 4362 4605 5526 6140 6543 7270 8724 9210 10905 11052 13086 13815 14540 18420 21810 26172 27630 32715 43620 55260 65430 130860 223189 446378 669567 892756 1115945 1339134 2008701 2231890 2678268 3347835 4017402 4463780 6695670 8034804 10043505 13391340 20087010 40174020