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40274920 = 2357831733
BaseRepresentation
bin1001100110100…
…0101111101000
32210210011210201
42121220233220
540302244140
63555121544
7666221410
oct231505750
983704721
1040274920
1120809164
12115a32b4
138461a1a
1454c5640
15380849a
hex2668be8

40274920 has 64 divisors (see below), whose sum is σ = 104872320. Its totient is φ = 13634304.

The previous prime is 40274893. The next prime is 40274929. The reversal of 40274920 is 2947204.

40274920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40274929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22374 + ... + 24106.

It is an arithmetic number, because the mean of its divisors is an integer number (1638630).

Almost surely, 240274920 is an apocalyptic number.

40274920 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 40274920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436160).

40274920 is an abundant number, since it is smaller than the sum of its proper divisors (64597400).

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

40274920 is a wasteful number, since it uses less digits than its factorization.

40274920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 40274920 is about 6346.2524374626. The cubic root of 40274920 is about 342.7769121132.

The spelling of 40274920 in words is "forty million, two hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 1733 2324 2905 3320 3466 4648 5810 6932 8665 11620 12131 13864 17330 23240 24262 34660 48524 60655 69320 97048 121310 143839 242620 287678 485240 575356 719195 1006873 1150712 1438390 2013746 2876780 4027492 5034365 5753560 8054984 10068730 20137460 40274920