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40820112 = 243510499
BaseRepresentation
bin1001101110110…
…1110110010000
32211210212200000
42123231312100
540422220422
64014530000
71003652034
oct233556620
984725600
1040820112
1121050833
1211806900
1385c2c18
1455c81c4
1538b4cac
hex26edd90

40820112 has 60 divisors (see below), whose sum is σ = 118482000. Its totient is φ = 13605408.

The previous prime is 40820107. The next prime is 40820119. The reversal of 40820112 is 21102804.

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

It is not an unprimeable number, because it can be changed into a prime (40820119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1362 + ... + 9137.

It is an arithmetic number, because the mean of its divisors is an integer number (1974700).

Almost surely, 240820112 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 40820112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59241000).

40820112 is an abundant number, since it is smaller than the sum of its proper divisors (77661888).

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

40820112 is a wasteful number, since it uses less digits than its factorization.

40820112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40820112 is about 6389.0619029714. The cubic root of 40820112 is about 344.3166815167.

Adding to 40820112 its sum of digits (18), we get a triangular number (40820130 = T9035).

Adding to 40820112 its reverse (21102804), we get a palindrome (61922916).

The spelling of 40820112 in words is "forty million, eight hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 10499 20998 31497 41996 62994 83992 94491 125988 167984 188982 251976 283473 377964 503952 566946 755928 850419 1133892 1511856 1700838 2267784 2551257 3401676 4535568 5102514 6803352 10205028 13606704 20410056 40820112