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1373740096 = 264121132
BaseRepresentation
bin101000111100001…
…1001110001000000
310112201221020010211
41101320121301000
510303134140341
6344152003504
746020412111
oct12170316100
93481836124
101373740096
116454932a3
12324090594
1318b7b5c81
14d0638208
1580909181
hex51e19c40

1373740096 has 63 divisors (see below), whose sum is σ = 2819070943. Its totient is φ = 664186880.

The previous prime is 1373740091. The next prime is 1373740099. The reversal of 1373740096 is 6900473731.

The square root of 1373740096 is 37064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1208257600 + 165482496 = 34760^2 + 12864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1373740091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12156936 + ... + 12157048.

Almost surely, 21373740096 is an apocalyptic number.

1373740096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1373740096 is the 37064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1373740096

1373740096 is an abundant number, since it is smaller than the sum of its proper divisors (1445330847).

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

1373740096 is an frugal number, since it uses more digits than its factorization.

1373740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The cubic root of 1373740096 is about 1111.6503049614.

The spelling of 1373740096 in words is "one billion, three hundred seventy-three million, seven hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 113 164 226 328 452 656 904 1312 1681 1808 2624 3362 3616 4633 6724 7232 9266 12769 13448 18532 25538 26896 37064 51076 53792 74128 102152 107584 148256 189953 204304 296512 379906 408608 523529 759812 817216 1047058 1519624 2094116 3039248 4188232 6078496 8376464 12156992 16752928 21464689 33505856 42929378 85858756 171717512 343435024 686870048 1373740096