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1373270336 = 261710112497
BaseRepresentation
bin101000111011010…
…0111000101000000
310112201001100202022
41101312213011000
510303024122321
6344133541012
746013414414
oct12166470500
93481040668
101373270336
116451a2369
12323aa4768
1318b6801c9
14d0554d44
1580864dab
hex51da7140

1373270336 has 56 divisors (see below), whose sum is σ = 2914183656. Its totient is φ = 639795200.

The previous prime is 1373270287. The next prime is 1373270341. The reversal of 1373270336 is 6330723731.

It can be written as a sum of positive squares in 4 ways, for example, as 775956736 + 597313600 = 27856^2 + 24440^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1373270296 and 1373270305.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103640 + ... + 116136.

Almost surely, 21373270336 is an apocalyptic number.

1373270336 is a gapful number since it is divisible by the number (16) 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 1373270336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457091828).

1373270336 is an abundant number, since it is smaller than the sum of its proper divisors (1540913320).

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

1373270336 is a wasteful number, since it uses less digits than its factorization.

1373270336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12627 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 35.

The square root of 1373270336 is about 37057.6623115922. The cubic root of 1373270336 is about 1111.5235783255.

The spelling of 1373270336 in words is "one billion, three hundred seventy-three million, two hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 202 272 404 544 808 1088 1616 1717 3232 3434 6464 6868 12497 13736 24994 27472 49988 54944 99976 109888 199952 212449 399904 424898 799808 849796 1262197 1699592 2524394 3399184 5048788 6798368 10097576 13596736 20195152 21457349 40390304 42914698 80780608 85829396 171658792 343317584 686635168 1373270336