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1374568272 = 243371131243
BaseRepresentation
bin101000111101110…
…0011111101010000
310112210111022012000
41101323203331100
510303342141042
6344221434000
746030431450
oct12173437520
93483438160
101374568272
116459a9540
1232440b900
1318ba15c0c
14d07b1d60
1580a1e74c
hex51ee3f50

1374568272 has 480 divisors, whose sum is σ = 5201095680. Its totient is φ = 337478400.

The previous prime is 1374568271. The next prime is 1374568289. The reversal of 1374568272 is 2728654731.

1374568272 is a `hidden beast` number, since 1 + 374 + 5 + 6 + 8 + 272 = 666.

Its product of digits (564480) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374568271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31966683 + ... + 31966725.

It is an arithmetic number, because the mean of its divisors is an integer number (10835616).

Almost surely, 21374568272 is an apocalyptic number.

1374568272 is a gapful number since it is divisible by the number (12) 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 1374568272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600547840).

1374568272 is an abundant number, since it is smaller than the sum of its proper divisors (3826527408).

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

1374568272 is a wasteful number, since it uses less digits than its factorization.

1374568272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1374568272 is about 37075.1705592840. The cubic root of 1374568272 is about 1111.8736507410.

The spelling of 1374568272 in words is "one billion, three hundred seventy-four million, five hundred sixty-eight thousand, two hundred seventy-two".