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40108068 = 223372111353
BaseRepresentation
bin1001100100000…
…0000000100100
32210110200221000
42121000000210
540231424233
63551353300
7664625100
oct231000044
983420830
1040108068
1120704870
1211522830
138403ab0
145480900
1537c3d13
hex2640024

40108068 has 288 divisors, whose sum is σ = 144789120. Its totient is φ = 9434880.

The previous prime is 40108039. The next prime is 40108087. The reversal of 40108068 is 86080104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 756730 + ... + 756782.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 240108068 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 40108068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

40108068 is an abundant number, since it is smaller than the sum of its proper divisors (104681052).

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

40108068 is a wasteful number, since it uses less digits than its factorization.

40108068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 40108068 is about 6333.0930831624. The cubic root of 40108068 is about 342.3029018535.

The spelling of 40108068 in words is "forty million, one hundred eight thousand, sixty-eight".