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1213048320 = 29351183173
BaseRepresentation
bin100100001001101…
…1010011000000000
310010112120020110120
41020103122120000
54441020021240
6320211500240
742026512011
oct11023323000
93115506416
101213048320
11572809180
1229a2b7680
13164412693
14b7169008
1571766ad0
hex484da600

1213048320 has 320 divisors, whose sum is σ = 4306224384. Its totient is φ = 288849920.

The previous prime is 1213048307. The next prime is 1213048349. The reversal of 1213048320 is 238403121.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7011754 + ... + 7011926.

Almost surely, 21213048320 is an apocalyptic number.

1213048320 is a gapful number since it is divisible by the number (10) 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 1213048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153112192).

1213048320 is an abundant number, since it is smaller than the sum of its proper divisors (3093176064).

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

1213048320 is a wasteful number, since it uses less digits than its factorization.

1213048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1213048320 is about 34828.8432193778. The cubic root of 1213048320 is about 1066.4963339126.

The spelling of 1213048320 in words is "one billion, two hundred thirteen million, forty-eight thousand, three hundred twenty".