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1375272144 = 243289107309
BaseRepresentation
bin101000111111000…
…1111110011010000
310112211211001201100
41101332033303100
510304032202034
6344244504400
746036422531
oct12176176320
93484731640
101375272144
1164633a354
123246ab100
1318bc013cc
14d0916688
1580b0d099
hex51f8fcd0

1375272144 has 60 divisors (see below), whose sum is σ = 3892133700. Its totient is φ = 453268992.

The previous prime is 1375272121. The next prime is 1375272149. The reversal of 1375272144 is 4412725731.

1375272144 is a `hidden beast` number, since 1 + 375 + 272 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 247118400 + 1128153744 = 15720^2 + 33588^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1375272099 and 1375272108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375272149) 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 11 ways as a sum of consecutive naturals, for example, 40839 + ... + 66470.

It is an arithmetic number, because the mean of its divisors is an integer number (64868895).

Almost surely, 21375272144 is an apocalyptic number.

It is an amenable number.

1375272144 is an abundant number, since it is smaller than the sum of its proper divisors (2516861556).

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

1375272144 is a wasteful number, since it uses less digits than its factorization.

1375272144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107412 (or 107403 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 1375272144 is about 37084.6618428698. The cubic root of 1375272144 is about 1112.0634032133.

Adding to 1375272144 its reverse (4412725731), we get a palindrome (5787997875).

The spelling of 1375272144 in words is "one billion, three hundred seventy-five million, two hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 107309 214618 321927 429236 643854 858472 965781 1287708 1716944 1931562 2575416 3863124 5150832 7726248 9550501 15452496 19101002 28651503 38202004 57303006 76404008 85954509 114606012 152808016 171909018 229212024 343818036 458424048 687636072 1375272144