Search a number
-
+
40110912 = 263283839
BaseRepresentation
bin1001100100000…
…0101101000000
32210110211211100
42121000231000
540232022122
63551414400
7664636302
oct231005500
983424740
1040110912
1120706a16
1211524400
13840518a
145481972
1537c4aac
hex2640b40

40110912 has 84 divisors (see below), whose sum is σ = 116494560. Its totient is φ = 13193472.

The previous prime is 40110901. The next prime is 40110929. The reversal of 40110912 is 21901104.

It is a super-2 number, since 2×401109122 = 3217770522943488, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47389 + ... + 48227.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 240110912 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 40110912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247280).

40110912 is an abundant number, since it is smaller than the sum of its proper divisors (76383648).

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

40110912 is a wasteful number, since it uses less digits than its factorization.

40110912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 40110912 is about 6333.3176140156. The cubic root of 40110912 is about 342.3109923824.

The spelling of 40110912 in words is "forty million, one hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 839 996 1328 1494 1678 1992 2517 2656 2988 3356 3984 5034 5312 5976 6712 7551 7968 10068 11952 13424 15102 15936 20136 23904 26848 30204 40272 47808 53696 60408 69637 80544 120816 139274 161088 208911 241632 278548 417822 483264 557096 626733 835644 1114192 1253466 1671288 2228384 2506932 3342576 4456768 5013864 6685152 10027728 13370304 20055456 40110912