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491940 = 22335911
BaseRepresentation
bin1111000000110100100
3220222211000
41320012210
5111220230
614313300
74116141
oct1700644
9828730
10491940
11306669
121b8830
13142bb7
14cb3c8
159ab60
hex781a4

491940 has 48 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 131040.

The previous prime is 491923. The next prime is 491951. The reversal of 491940 is 49194.

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

It is an unprimeable number.

491940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2491940 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 491940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

491940 is an abundant number, since it is smaller than the sum of its proper divisors (1040220).

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

491940 is a wasteful number, since it uses less digits than its factorization.

491940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 491940 is about 701.3843454198. The cubic root of 491940 is about 78.9412584745.

It can be divided in two parts, 491 and 940, that added together give a triangular number (1431 = T53).

The spelling of 491940 in words is "four hundred ninety-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 911 1822 2733 3644 4555 5466 8199 9110 10932 13665 16398 18220 24597 27330 32796 40995 49194 54660 81990 98388 122985 163980 245970 491940