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940082136 = 233719129297
BaseRepresentation
bin111000000010001…
…000001111011000
32102111221010020220
4320002020033120
53411130112021
6233141120040
732203365150
oct7002101730
92374833226
10940082136
11442719694
122229b9020
1311c9bb726
148cbd1760
15577e7cc6
hex380883d8

940082136 has 64 divisors (see below), whose sum is σ = 2700103680. Its totient is φ = 267179520.

The previous prime is 940082131. The next prime is 940082141. The reversal of 940082136 is 631280049.

It is an interprime number because it is at equal distance from previous prime (940082131) and next prime (940082141).

It is a junction number, because it is equal to n+sod(n) for n = 940082097 and 940082106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940082131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17440 + ... + 46736.

It is an arithmetic number, because the mean of its divisors is an integer number (42189120).

Almost surely, 2940082136 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 940082136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350051840).

940082136 is an abundant number, since it is smaller than the sum of its proper divisors (1760021544).

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

940082136 is a wasteful number, since it uses less digits than its factorization.

940082136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29504 (or 29500 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 940082136 is about 30660.7588947175. The cubic root of 940082136 is about 979.6146395458.

The spelling of 940082136 in words is "nine hundred forty million, eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 191 382 573 764 1146 1337 1528 2292 2674 4011 4584 5348 8022 10696 16044 29297 32088 58594 87891 117188 175782 205079 234376 351564 410158 615237 703128 820316 1230474 1640632 2460948 4921896 5595727 11191454 16787181 22382908 33574362 39170089 44765816 67148724 78340178 117510267 134297448 156680356 235020534 313360712 470041068 940082136