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40040960 = 29515641
BaseRepresentation
bin1001100010111…
…1101000000000
32210100021212112
42120233220000
540222302320
63550114452
7664225331
oct230575000
983307775
1040040960
1120669403
12114aba28
1383ac39b
145464288
1537adec5
hex262fa00

40040960 has 40 divisors (see below), whose sum is σ = 96010596. Its totient is φ = 16015360.

The previous prime is 40040929. The next prime is 40040963. The reversal of 40040960 is 6904004.

It can be written as a sum of positive squares in 2 ways, for example, as 36772096 + 3268864 = 6064^2 + 1808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5261 + ... + 10380.

Almost surely, 240040960 is an apocalyptic number.

40040960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40040960 is an abundant number, since it is smaller than the sum of its proper divisors (55969636).

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

40040960 is an equidigital number, since it uses as much as digits as its factorization.

40040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15664 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 40040960 is about 6327.7926641128. The cubic root of 40040960 is about 342.1118838706. Note that the first 3 decimals are identical.

Adding to 40040960 its reverse (6904004), we get a palindrome (46944964).

The spelling of 40040960 in words is "forty million, forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 15641 31282 62564 78205 125128 156410 250256 312820 500512 625640 1001024 1251280 2002048 2502560 4004096 5005120 8008192 10010240 20020480 40040960