Search a number
-
+
1363449780 = 223357113271
BaseRepresentation
bin101000101000100…
…1001011110110100
310112000120102111000
41101101021132310
510243020343110
6343143243300
745534063150
oct12121113664
93460512430
101363449780
1163a6a5000
12320749530
13189622224
14cd11a060
157ea751c0
hex514497b4

1363449780 has 384 divisors, whose sum is σ = 5351915520. Its totient is φ = 282268800.

The previous prime is 1363449767. The next prime is 1363449797. The reversal of 1363449780 is 879443631.

1363449780 is a `hidden beast` number, since 1 + 3 + 634 + 4 + 9 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5031045 + ... + 5031315.

It is an arithmetic number, because the mean of its divisors is an integer number (13937280).

Almost surely, 21363449780 is an apocalyptic number.

1363449780 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 1363449780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675957760).

1363449780 is an abundant number, since it is smaller than the sum of its proper divisors (3988465740).

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

1363449780 is a wasteful number, since it uses less digits than its factorization.

1363449780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1363449780 is about 36924.9208529957. The cubic root of 1363449780 is about 1108.8676546021.

The spelling of 1363449780 in words is "one billion, three hundred sixty-three million, four hundred forty-nine thousand, seven hundred eighty".