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40131000 = 2332537313
BaseRepresentation
bin1001100100010…
…1100110111000
32210111212101100
42121011212320
540233143000
63552051400
7665052000
oct231054670
983455340
1040131000
1120720018
1211533b60
138411370
145489000
1537caa00
hex26459b8

40131000 has 384 divisors, whose sum is σ = 170352000. Its totient is φ = 8467200.

The previous prime is 40130989. The next prime is 40131011. The reversal of 40131000 is 13104.

It is an interprime number because it is at equal distance from previous prime (40130989) and next prime (40131011).

It is a super-2 number, since 2×401310002 = 3220994322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3086994 + ... + 3087006.

It is an arithmetic number, because the mean of its divisors is an integer number (443625).

Almost surely, 240131000 is an apocalyptic number.

40131000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176000).

40131000 is an abundant number, since it is smaller than the sum of its proper divisors (130221000).

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

40131000 is a wasteful number, since it uses less digits than its factorization.

40131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 40131000 is about 6334.9033141793. The cubic root of 40131000 is about 342.3681272556.

Adding to 40131000 its reverse (13104), we get a palindrome (40144104).

The spelling of 40131000 in words is "forty million, one hundred thirty-one thousand".