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40698240 = 2735114147
BaseRepresentation
bin1001101101000…
…0000110000000
32211120200111020
42123100012000
540404320430
64012145440
71002633522
oct233200600
984520436
1040698240
1120a78210
1211768280
13857c5cb
145595a12
15388db10
hex26d0180

40698240 has 256 divisors, whose sum is σ = 148055040. Its totient is φ = 9420800.

The previous prime is 40698239. The next prime is 40698271. The reversal of 40698240 is 4289604.

It is a super-3 number, since 3×406982403 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865897 + ... + 865943.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 240698240 is an apocalyptic number.

40698240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

40698240 is an abundant number, since it is smaller than the sum of its proper divisors (107356800).

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

40698240 is a wasteful number, since it uses less digits than its factorization.

40698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 40698240 is about 6379.5172231134. The cubic root of 40698240 is about 343.9736774523.

The spelling of 40698240 in words is "forty million, six hundred ninety-eight thousand, two hundred forty".