Search a number
-
+
40372074 = 233193109
BaseRepresentation
bin1001101000000…
…0011101101010
32210222010002000
42122000131222
540313401244
64001151430
71000104561
oct232003552
983863060
1040372074
1120875156
121162b576
138497002
14550cbd8
153827169
hex268076a

40372074 has 64 divisors (see below), whose sum is σ = 95568000. Its totient is φ = 12632112.

The previous prime is 40372067. The next prime is 40372097. The reversal of 40372074 is 47027304.

It is a super-2 number, since 2×403720742 = 3259808718122952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 370332 + ... + 370440.

It is an arithmetic number, because the mean of its divisors is an integer number (1493250).

Almost surely, 240372074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40372074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47784000).

40372074 is an abundant number, since it is smaller than the sum of its proper divisors (55195926).

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

40372074 is a wasteful number, since it uses less digits than its factorization.

40372074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 40372074 is about 6353.9022655373. The cubic root of 40372074 is about 343.0523143240.

Adding to 40372074 its reverse (47027304), we get a palindrome (87399378).

It can be divided in two parts, 4037 and 2074, that multiplied together give a palindrome (8372738).

The spelling of 40372074 in words is "forty million, three hundred seventy-two thousand, seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 109 114 171 218 327 342 361 513 654 722 981 1026 1083 1962 2071 2166 2943 3249 4142 5886 6213 6498 6859 9747 12426 13718 18639 19494 20577 37278 39349 41154 55917 61731 78698 111834 118047 123462 185193 236094 354141 370386 708282 747631 1062423 1495262 2124846 2242893 4485786 6728679 13457358 20186037 40372074