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1364822420 = 2251350910313
BaseRepresentation
bin101000101011001…
…1000100110010100
310112010011011101112
41101112120212110
510243343304140
6343232514152
745551541053
oct12126304624
93463134345
101364822420
11640452315
123210ab958
131899b2c40
14cd39639a
157ec46c65
hex51598994

1364822420 has 48 divisors (see below), whose sum is σ = 3092962320. Its totient is φ = 502895616.

The previous prime is 1364822411. The next prime is 1364822423. The reversal of 1364822420 is 242284631.

It can be written as a sum of positive squares in 8 ways, for example, as 27164944 + 1337657476 = 5212^2 + 36574^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364822423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127184 + ... + 137496.

It is an arithmetic number, because the mean of its divisors is an integer number (64436715).

Almost surely, 21364822420 is an apocalyptic number.

1364822420 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 1364822420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546481160).

1364822420 is an abundant number, since it is smaller than the sum of its proper divisors (1728139900).

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

1364822420 is a wasteful number, since it uses less digits than its factorization.

1364822420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10844 (or 10842 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 1364822420 is about 36943.5030824095. The cubic root of 1364822420 is about 1109.2396437594.

The spelling of 1364822420 in words is "one billion, three hundred sixty-four million, eight hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 509 1018 2036 2545 5090 6617 10180 10313 13234 20626 26468 33085 41252 51565 66170 103130 132340 134069 206260 268138 536276 670345 1340690 2681380 5249317 10498634 20997268 26246585 52493170 68241121 104986340 136482242 272964484 341205605 682411210 1364822420