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40680600 = 2335267801
BaseRepresentation
bin1001101100101…
…1110010011000
32211112210021220
42123023302120
540403234400
64011532040
71002531222
oct233136230
984483256
1040680600
1120a65a34
121175a020
13857457c
14558d412
1538887a0
hex26cbc98

40680600 has 48 divisors (see below), whose sum is σ = 126111720. Its totient is φ = 10848000.

The previous prime is 40680599. The next prime is 40680611. The reversal of 40680600 is 608604.

40680600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×406806002 = 3309822432720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33301 + ... + 34500.

Almost surely, 240680600 is an apocalyptic number.

40680600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40680600 is an abundant number, since it is smaller than the sum of its proper divisors (85431120).

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

40680600 is a wasteful number, since it uses less digits than its factorization.

40680600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67820 (or 67811 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 40680600 is about 6378.1345235108. The cubic root of 40680600 is about 343.9239736442.

The spelling of 40680600 in words is "forty million, six hundred eighty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 67801 135602 203403 271204 339005 406806 542408 678010 813612 1017015 1356020 1627224 1695025 2034030 2712040 3390050 4068060 5085075 6780100 8136120 10170150 13560200 20340300 40680600