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40713100 = 225229101139
BaseRepresentation
bin1001101101001…
…1101110001100
32211121102212121
42123103232030
540410304400
64012342324
71003025041
oct233235614
984542777
1040713100
1120a8839a
12117749a4
1385862bc
14559b1c8
15389321a
hex26d3b8c

40713100 has 72 divisors (see below), whose sum is σ = 92962800. Its totient is φ = 15456000.

The previous prime is 40713037. The next prime is 40713107. The reversal of 40713100 is 131704.

Adding to 40713100 its reverse (131704), we get a palindrome (40844804).

It is a super-2 number, since 2×407131002 = 3315113023220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40713107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292831 + ... + 292969.

It is an arithmetic number, because the mean of its divisors is an integer number (1291150).

Almost surely, 240713100 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 40713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46481400).

40713100 is an abundant number, since it is smaller than the sum of its proper divisors (52249700).

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

40713100 is a wasteful number, since it uses less digits than its factorization.

40713100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 40713100 is about 6380.6817817534. The cubic root of 40713100 is about 344.0155369763.

The spelling of 40713100 in words is "forty million, seven hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 101 116 139 145 202 278 290 404 505 556 580 695 725 1010 1390 1450 2020 2525 2780 2900 2929 3475 4031 5050 5858 6950 8062 10100 11716 13900 14039 14645 16124 20155 28078 29290 40310 56156 58580 70195 73225 80620 100775 140390 146450 201550 280780 292900 350975 403100 407131 701950 814262 1403900 1628524 2035655 4071310 8142620 10178275 20356550 40713100