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100047940 = 22511344269
BaseRepresentation
bin1011111011010…
…01110001000100
320222020221222021
411331221301010
5201103013230
613532212524
72323251646
oct575516104
9228227867
10100047940
1151524553
122960a144
131795c585
14d404896
158bb3c7a
hex5f69c44

100047940 has 24 divisors (see below), whose sum is σ = 211964760. Its totient is φ = 39664128.

The previous prime is 100047911. The next prime is 100047947. The reversal of 100047940 is 49740001.

It can be written as a sum of positive squares in 4 ways, for example, as 10291264 + 89756676 = 3208^2 + 9474^2 .

It is not an unprimeable number, because it can be changed into a prime (100047947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19875 + ... + 24394.

It is an arithmetic number, because the mean of its divisors is an integer number (8831865).

Almost surely, 2100047940 is an apocalyptic number.

100047940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100047940 is an abundant number, since it is smaller than the sum of its proper divisors (111916820).

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

100047940 is a wasteful number, since it uses less digits than its factorization.

100047940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44391 (or 44389 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 100047940 is about 10002.3967127884. The cubic root of 100047940 is about 464.2330441012.

Adding to 100047940 its reverse (49740001), we get a palindrome (149787941).

The spelling of 100047940 in words is "one hundred million, forty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 44269 88538 177076 221345 442690 885380 5002397 10004794 20009588 25011985 50023970 100047940