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40127076 = 223811139
BaseRepresentation
bin1001100100010…
…0101001100100
32210111200000000
42121010221210
540233031301
63552021300
7665034363
oct231045144
983450000
1040127076
1120718080
1211531830
13840c642
1454877da
1537c9786
hex2644a64

40127076 has 108 divisors (see below), whose sum is σ = 115730160. Its totient is φ = 12072240.

The previous prime is 40127071. The next prime is 40127077. The reversal of 40127076 is 67072104.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×401270762 = 3220364456619552, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40127071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288615 + ... + 288753.

Almost surely, 240127076 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 40127076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57865080).

40127076 is an abundant number, since it is smaller than the sum of its proper divisors (75603084).

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

40127076 is a wasteful number, since it uses less digits than its factorization.

40127076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40127076 is about 6334.5935939096. The cubic root of 40127076 is about 342.3569679995.

The spelling of 40127076 in words is "forty million, one hundred twenty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 139 162 198 243 278 297 324 396 417 486 556 594 729 834 891 972 1188 1251 1458 1529 1668 1782 2187 2502 2673 2916 3058 3564 3753 4374 4587 5004 5346 6116 6561 7506 8019 8748 9174 10692 11259 13122 13761 15012 16038 18348 22518 24057 26244 27522 32076 33777 41283 45036 48114 55044 67554 72171 82566 96228 101331 123849 135108 144342 165132 202662 247698 288684 303993 371547 405324 495396 607986 743094 911979 1114641 1215972 1486188 1823958 2229282 3343923 3647916 4458564 6687846 10031769 13375692 20063538 40127076