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1373406720 = 2935759433
BaseRepresentation
bin101000111011100…
…1000011000000000
310112201022021211120
41101313020120000
510303043003340
6344140512240
746014523140
oct12167103000
93481267746
101373406720
11645285884
12323b4b680
1318b6ca2ca
14d058c920
15808904d0
hex51dc8600

1373406720 has 320 divisors, whose sum is σ = 5114672640. Its totient is φ = 307888128.

The previous prime is 1373406709. The next prime is 1373406731. The reversal of 1373406720 is 276043731.

It is an interprime number because it is at equal distance from previous prime (1373406709) and next prime (1373406731).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×13734067203 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3171624 + ... + 3172056.

It is an arithmetic number, because the mean of its divisors is an integer number (15983352).

Almost surely, 21373406720 is an apocalyptic number.

1373406720 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 1373406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557336320).

1373406720 is an abundant number, since it is smaller than the sum of its proper divisors (3741265920).

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

1373406720 is an equidigital number, since it uses as much as digits as its factorization.

1373406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 1373406720 is about 37059.5024251541. The cubic root of 1373406720 is about 1111.5603734633.

The spelling of 1373406720 in words is "one billion, three hundred seventy-three million, four hundred six thousand, seven hundred twenty".