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40420640 = 2551319433
BaseRepresentation
bin1001101000110…
…0010100100000
32211001120200202
42122030110200
540321430030
64002204332
71000366301
oct232142440
984046622
1040420640
11208a8697
12116536a8
1384b3150
1455227a8
153836745
hex268c520

40420640 has 48 divisors (see below), whose sum is σ = 102844728. Its totient is φ = 14923776.

The previous prime is 40420573. The next prime is 40420643. The reversal of 40420640 is 4602404.

It can be written as a sum of positive squares in 4 ways, for example, as 15460624 + 24960016 = 3932^2 + 4996^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40420643) 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, 7637 + ... + 11796.

Almost surely, 240420640 is an apocalyptic number.

40420640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40420640 is an abundant number, since it is smaller than the sum of its proper divisors (62424088).

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

40420640 is a wasteful number, since it uses less digits than its factorization.

40420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19461 (or 19453 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 40420640 is about 6357.7228627866. The cubic root of 40420640 is about 343.1898186332.

The spelling of 40420640 in words is "forty million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 19433 38866 77732 97165 155464 194330 252629 310928 388660 505258 621856 777320 1010516 1263145 1554640 2021032 2526290 3109280 4042064 5052580 8084128 10105160 20210320 40420640