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40100000 = 2555401
BaseRepresentation
bin1001100011111…
…0000010100000
32210110021212012
42120332002200
540231200000
63551252052
7664562423
oct230760240
983407765
1040100000
11206a97a6
121151a028
138400215
14547b9ba
1537c1735
hex263e0a0

40100000 has 72 divisors (see below), whose sum is σ = 98923356. Its totient is φ = 16000000.

The previous prime is 40099987. The next prime is 40100003. The reversal of 40100000 is 104.

It can be written as a sum of positive squares in 6 ways, for example, as 5776 + 40094224 = 76^2 + 6332^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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 not an unprimeable number, because it can be changed into a prime (40100003) 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, 99800 + ... + 100200.

Almost surely, 240100000 is an apocalyptic number.

40100000 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 40100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49461678).

40100000 is an abundant number, since it is smaller than the sum of its proper divisors (58823356).

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

40100000 is an frugal number, since it uses more digits than its factorization.

40100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 40100000 is about 6332.4560795950. The cubic root of 40100000 is about 342.2799481591.

Adding to 40100000 its reverse (104), we get a palindrome (40100104).

The spelling of 40100000 in words is "forty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 401 500 625 800 802 1000 1250 1604 2000 2005 2500 3125 3208 4000 4010 5000 6250 6416 8020 10000 10025 12500 12832 16040 20000 20050 25000 32080 40100 50000 50125 64160 80200 100000 100250 160400 200500 250625 320800 401000 501250 802000 1002500 1253125 1604000 2005000 2506250 4010000 5012500 8020000 10025000 20050000 40100000