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1356436620 = 22325721123141
BaseRepresentation
bin101000011011001…
…1001010010001100
310111112101010020100
41100312121102030
510234221432440
6342333051100
745420343500
oct12066312214
93445333210
101356436620
11636744a00
1231a326a90
13188038026
14cc212300
157e13c230
hex50d9948c

1356436620 has 648 divisors, whose sum is σ = 5563119744. Its totient is φ = 266112000.

The previous prime is 1356436607. The next prime is 1356436673. The reversal of 1356436620 is 266346531.

1356436620 is a `hidden beast` number, since 1 + 3 + 5 + 643 + 6 + 6 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 33083800 + ... + 33083840.

Almost surely, 21356436620 is an apocalyptic number.

1356436620 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 1356436620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781559872).

1356436620 is an abundant number, since it is smaller than the sum of its proper divisors (4206683124).

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

1356436620 is a wasteful number, since it uses less digits than its factorization.

1356436620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 1356436620 is about 36829.8332877031. The cubic root of 1356436620 is about 1106.9631624799.

The spelling of 1356436620 in words is "one billion, three hundred fifty-six million, four hundred thirty-six thousand, six hundred twenty".