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940480100 = 225272295867
BaseRepresentation
bin111000000011101…
…001011001100100
32102112200100011022
4320003221121210
53411230330400
6233153430312
732206643330
oct7003513144
92375610138
10940480100
1144297068a
12222b6b398
1311caca901
148cc967c0
1557875b85
hex380e9664

940480100 has 72 divisors (see below), whose sum is σ = 2342975040. Its totient is φ = 320987520.

The previous prime is 940480081. The next prime is 940480111. The reversal of 940480100 is 1084049.

It is a self number, because there is not a number n which added to its sum of digits gives 940480100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 157367 + ... + 163233.

It is an arithmetic number, because the mean of its divisors is an integer number (32541320).

Almost surely, 2940480100 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 940480100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171487520).

940480100 is an abundant number, since it is smaller than the sum of its proper divisors (1402494940).

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

940480100 is a wasteful number, since it uses less digits than its factorization.

940480100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 940480100 is about 30667.2480017363. The cubic root of 940480100 is about 979.7528531290.

The spelling of 940480100 in words is "nine hundred forty million, four hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 229 350 458 700 916 1145 1603 2290 3206 4580 5725 5867 6412 8015 11450 11734 16030 22900 23468 29335 32060 40075 41069 58670 80150 82138 117340 146675 160300 164276 205345 293350 410690 586700 821380 1026725 1343543 2053450 2687086 4106900 5374172 6717715 9404801 13435430 18809602 26870860 33588575 37619204 47024005 67177150 94048010 134354300 188096020 235120025 470240050 940480100