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40022136 = 23327117219
BaseRepresentation
bin1001100010101…
…1000001111000
32210022100001100
42120223001320
540221202021
63545451400
7664116420
oct230530170
983270040
1040022136
1120656250
12114a0b60
1383a394b
14545b480
1537a8626
hex262b078

40022136 has 96 divisors (see below), whose sum is σ = 135158400. Its totient is φ = 10393920.

The previous prime is 40022107. The next prime is 40022137. The reversal of 40022136 is 63122004.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40022137) 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, 1935 + ... + 9153.

It is an arithmetic number, because the mean of its divisors is an integer number (1407900).

Almost surely, 240022136 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 40022136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67579200).

40022136 is an abundant number, since it is smaller than the sum of its proper divisors (95136264).

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

40022136 is a wasteful number, since it uses less digits than its factorization.

40022136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249 (or 7242 counting only the distinct ones).

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

The square root of 40022136 is about 6326.3050827477. The cubic root of 40022136 is about 342.0582644141.

The spelling of 40022136 in words is "forty million, twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 7219 14438 21657 28876 43314 50533 57752 64971 79409 86628 101066 129942 151599 158818 173256 202132 238227 259884 303198 317636 404264 454797 476454 519768 555863 606396 635272 714681 909594 952908 1111726 1212792 1429362 1667589 1819188 1905816 2223452 2858724 3335178 3638376 4446904 5002767 5717448 6670356 10005534 13340712 20011068 40022136