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1397822080 = 2753376481
BaseRepresentation
bin101001101010001…
…0001001010000000
310121102020201102011
41103110101022000
510330320301310
6350412102304
746432202014
oct12324211200
93542221364
101397822080
11658041466
12330164994
13193798375
14d3906544
1582ab478a
hex53511280

1397822080 has 64 divisors (see below), whose sum is σ = 3352101480. Its totient is φ = 557383680.

The previous prime is 1397822051. The next prime is 1397822081. The reversal of 1397822080 is 802287931.

It can be written as a sum of positive squares in 4 ways, for example, as 1273633344 + 124188736 = 35688^2 + 11144^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1397822081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212440 + ... + 218920.

Almost surely, 21397822080 is an apocalyptic number.

1397822080 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 1397822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676050740).

1397822080 is an abundant number, since it is smaller than the sum of its proper divisors (1954279400).

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

1397822080 is an equidigital number, since it uses as much as digits as its factorization.

1397822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1397822080 is about 37387.4588598904. The cubic root of 1397822080 is about 1118.1085421951.

The spelling of 1397822080 in words is "one billion, three hundred ninety-seven million, eight hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 337 640 674 1348 1685 2696 3370 5392 6481 6740 10784 12962 13480 21568 25924 26960 32405 43136 51848 53920 64810 103696 107840 129620 207392 215680 259240 414784 518480 829568 1036960 2073920 2184097 4147840 4368194 8736388 10920485 17472776 21840970 34945552 43681940 69891104 87363880 139782208 174727760 279564416 349455520 698911040 1397822080