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40350020 = 2252973953
BaseRepresentation
bin1001100111101…
…1000101000100
32210220222211012
42121323011010
540312200040
64000501352
7666653354
oct231730504
983828735
1040350020
112085a627
121161a858
138489c69
145504b64
153820865
hex267b144

40350020 has 48 divisors (see below), whose sum is σ = 88950960. Its totient is φ = 15353856.

The previous prime is 40349999. The next prime is 40350043. The reversal of 40350020 is 2005304.

It can be written as a sum of positive squares in 8 ways, for example, as 179776 + 40170244 = 424^2 + 6338^2 .

It is a super-2 number, since 2×403500202 = 3256248228000800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40349977 and 40350004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41864 + ... + 42816.

It is an arithmetic number, because the mean of its divisors is an integer number (1853145).

Almost surely, 240350020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40350020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44475480).

40350020 is an abundant number, since it is smaller than the sum of its proper divisors (48600940).

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

40350020 is a wasteful number, since it uses less digits than its factorization.

40350020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 40350020 is about 6352.1665595291. The cubic root of 40350020 is about 342.9898366999.

Adding to 40350020 its reverse (2005304), we get a palindrome (42355324).

The spelling of 40350020 in words is "forty million, three hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 365 580 730 953 1460 1906 2117 3812 4234 4765 8468 9530 10585 19060 21170 27637 42340 55274 69569 110548 138185 139138 276370 278276 347845 552740 695690 1391380 2017501 4035002 8070004 10087505 20175010 40350020