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941020416 = 283572161
BaseRepresentation
bin111000000101101…
…101010100000000
32102120200210100000
4320011231110000
53411400123131
6233213200000
732214353520
oct7005552400
92376623300
10941020416
114431aa626
12223190000
1311cc5981b
148cd97680
1557930ce6
hex3816d500

941020416 has 216 divisors, whose sum is σ = 3217125184. Its totient is φ = 268738560.

The previous prime is 941020403. The next prime is 941020447. The reversal of 941020416 is 614020149.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 941020416.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 434376 + ... + 436536.

Almost surely, 2941020416 is an apocalyptic number.

941020416 is a gapful number since it is divisible by the number (96) 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 941020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608562592).

941020416 is an abundant number, since it is smaller than the sum of its proper divisors (2276104768).

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

941020416 is an equidigital number, since it uses as much as digits as its factorization.

941020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 941020416 is about 30676.0560698405. The cubic root of 941020416 is about 979.9404434167.

The spelling of 941020416 in words is "nine hundred forty-one million, twenty thousand, four hundred sixteen".