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940519424 = 21213171039
BaseRepresentation
bin111000000011110…
…011000000000000
32102112202100002202
4320003303000000
53411233110144
6233154332332
732210166065
oct7003630000
92375670082
10940519424
11442998189
12222b8a0a8
1311cb12790
148cca6c6c
155788264e
hex380f3000

940519424 has 104 divisors (see below), whose sum is σ = 2146697280. Its totient is φ = 408158208.

The previous prime is 940519423. The next prime is 940519487. The reversal of 940519424 is 424915049.

It is a tau number, because it is divible by the number of its divisors (104).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (940519423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904697 + ... + 905735.

It is an arithmetic number, because the mean of its divisors is an integer number (20641320).

Almost surely, 2940519424 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 940519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073348640).

940519424 is an abundant number, since it is smaller than the sum of its proper divisors (1206177856).

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

940519424 is a wasteful number, since it uses less digits than its factorization.

940519424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 940519424 is about 30667.8891350546. The cubic root of 940519424 is about 979.7665083051.

The spelling of 940519424 in words is "nine hundred forty million, five hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1024 1039 1088 1664 1768 2048 2078 2176 3328 3536 4096 4156 4352 6656 7072 8312 8704 13312 13507 14144 16624 17408 17663 26624 27014 28288 33248 34816 35326 53248 54028 56576 66496 69632 70652 108056 113152 132992 141304 216112 226304 229619 265984 282608 432224 452608 459238 531968 565216 864448 905216 918476 1063936 1130432 1728896 1836952 2127872 2260864 3457792 3673904 4255744 4521728 6915584 7347808 9043456 13831168 14695616 18086912 27662336 29391232 36173824 55324672 58782464 72347648 117564928 235129856 470259712 940519424