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1214520384 = 263711113727
BaseRepresentation
bin100100001100100…
…0001110001000000
310010122100000202110
41020121001301000
54441404123014
6320303215320
742045152520
oct11031016100
93118300673
101214520384
11573624160
1229a8a7540
1316480971c
14b742d680
1571957d59
hex48641c40

1214520384 has 224 divisors, whose sum is σ = 4047353856. Its totient is φ = 312238080.

The previous prime is 1214520371. The next prime is 1214520389. The reversal of 1214520384 is 4830254121.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1214520389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1670229 + ... + 1670955.

It is an arithmetic number, because the mean of its divisors is an integer number (18068544).

Almost surely, 21214520384 is an apocalyptic number.

1214520384 is a gapful number since it is divisible by the number (14) 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 1214520384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023676928).

1214520384 is an abundant number, since it is smaller than the sum of its proper divisors (2832833472).

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

1214520384 is a wasteful number, since it uses less digits than its factorization.

1214520384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1214520384 is about 34849.9696413067. The cubic root of 1214520384 is about 1066.9275660417.

The spelling of 1214520384 in words is "one billion, two hundred fourteen million, five hundred twenty thousand, three hundred eighty-four".