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40694940 = 2233511131731
BaseRepresentation
bin1001101100111…
…1010010011100
32211120111222000
42123033102130
540404214230
64012122300
71002621066
oct233172234
984514860
1040694940
1120a75790
1211766390
13857ac60
145594736
15388cb60
hex26cf49c

40694940 has 384 divisors, whose sum is σ = 162570240. Its totient is φ = 8294400.

The previous prime is 40694939. The next prime is 40694959. The reversal of 40694940 is 4949604.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40694895 and 40694904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1312725 + ... + 1312755.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 240694940 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 40694940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

40694940 is an abundant number, since it is smaller than the sum of its proper divisors (121875300).

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

40694940 is a wasteful number, since it uses less digits than its factorization.

40694940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40694940 is about 6379.2585776092. The cubic root of 40694940 is about 343.9643802131.

It can be divided in two parts, 4069 and 4940, that added together give a palindrome (9009).

The spelling of 40694940 in words is "forty million, six hundred ninety-four thousand, nine hundred forty".