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1364025420 = 2234531157173
BaseRepresentation
bin101000101001101…
…0110000001001100
310112001122200010000
41101103112001030
510243142303140
6343203444300
745542011332
oct12123260114
93461580100
101364025420
1163aa5853a
12320986690
13189794244
14cd229b52
157eb3aa30
hex514d604c

1364025420 has 240 divisors, whose sum is σ = 4470859008. Its totient is φ = 347742720.

The previous prime is 1364025359. The next prime is 1364025449. The reversal of 1364025420 is 245204631.

1364025420 is a `hidden beast` number, since 13 + 640 + 2 + 5 + 4 + 2 + 0 = 666.

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

1364025420 is a modest number, since divided by 25420 gives 13640 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7884454 + ... + 7884626.

Almost surely, 21364025420 is an apocalyptic number.

1364025420 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 1364025420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235429504).

1364025420 is an abundant number, since it is smaller than the sum of its proper divisors (3106833588).

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

1364025420 is a wasteful number, since it uses less digits than its factorization.

1364025420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1364025420 is about 36932.7147661799. The cubic root of 1364025420 is about 1109.0236849835.

It can be divided in two parts, 13640 and 25420, that added together give a triangular number (39060 = T279).

The spelling of 1364025420 in words is "one billion, three hundred sixty-four million, twenty-five thousand, four hundred twenty".