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40700900 = 22523531153
BaseRepresentation
bin1001101101000…
…0101111100100
32211120211010202
42123100233210
540404412100
64012210032
71002644342
oct233205744
984524122
1040700900
1120a7a209
1211769918
138580896
145596992
15388e7d5
hex26d0be4

40700900 has 36 divisors (see below), whose sum is σ = 88647972. Its totient is φ = 16220160.

The previous prime is 40700893. The next prime is 40700903. The reversal of 40700900 is 900704.

40700900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 47524 + 40653376 = 218^2 + 6376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40700903) by changing a digit.

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, 34724 + ... + 35876.

Almost surely, 240700900 is an apocalyptic number.

It is an amenable number.

40700900 is an abundant number, since it is smaller than the sum of its proper divisors (47947072).

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

40700900 is a wasteful number, since it uses less digits than its factorization.

40700900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 40700900 is about 6379.7256994325. The cubic root of 40700900 is about 343.9811712247.

The spelling of 40700900 in words is "forty million, seven hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 353 706 1153 1412 1765 2306 3530 4612 5765 7060 8825 11530 17650 23060 28825 35300 57650 115300 407009 814018 1628036 2035045 4070090 8140180 10175225 20350450 40700900