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40303920 = 2435612753
BaseRepresentation
bin1001100110111…
…1110100110000
32210211122120210
42121233310300
540304211140
63555504120
7666402066
oct231576460
983748523
1040303920
1120828a28
12115b8040
138471c97
1454d2036
153811d80
hex266fd30

40303920 has 80 divisors (see below), whose sum is σ = 127036512. Its totient is φ = 10567680.

The previous prime is 40303919. The next prime is 40303927. The reversal of 40303920 is 2930304.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (40303927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13264 + ... + 16016.

Almost surely, 240303920 is an apocalyptic number.

40303920 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 40303920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63518256).

40303920 is an abundant number, since it is smaller than the sum of its proper divisors (86732592).

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

40303920 is a wasteful number, since it uses less digits than its factorization.

40303920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 40303920 is about 6348.5368393040. The cubic root of 40303920 is about 342.8591646706.

The spelling of 40303920 in words is "forty million, three hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2753 2928 3660 4880 5506 7320 8259 11012 13765 14640 16518 22024 27530 33036 41295 44048 55060 66072 82590 110120 132144 165180 167933 220240 330360 335866 503799 660720 671732 839665 1007598 1343464 1679330 2015196 2518995 2686928 3358660 4030392 5037990 6717320 8060784 10075980 13434640 20151960 40303920