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1375360090 = 251329973761
BaseRepresentation
bin101000111111010…
…0101010001011010
310112211222112100121
41101332211101122
510304043010330
6344250423454
746040240116
oct12176452132
93484875317
101375360090
1164639a435
12324731b8a
1318bc32450
14d093a746
1580b2917a
hex51fa545a

1375360090 has 64 divisors (see below), whose sum is σ = 2787190560. Its totient is φ = 485130240.

The previous prime is 1375360079. The next prime is 1375360093. The reversal of 1375360090 is 900635731.

It can be written as a sum of positive squares in 16 ways, for example, as 10131489 + 1365228601 = 3183^2 + 36949^2 .

It is not an unprimeable number, because it can be changed into a prime (1375360093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363810 + ... + 367570.

Almost surely, 21375360090 is an apocalyptic number.

1375360090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1375360090 is an abundant number, since it is smaller than the sum of its proper divisors (1411830470).

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

1375360090 is a wasteful number, since it uses less digits than its factorization.

1375360090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907.

The product of its (nonzero) digits is 17010, while the sum is 34.

The square root of 1375360090 is about 37085.8475701985. The cubic root of 1375360090 is about 1112.0871074777.

The spelling of 1375360090 in words is "one billion, three hundred seventy-five million, three hundred sixty thousand, ninety".

Divisors: 1 2 5 10 13 26 29 58 65 97 130 145 194 290 377 485 754 970 1261 1885 2522 2813 3761 3770 5626 6305 7522 12610 14065 18805 28130 36569 37610 48893 73138 97786 109069 182845 218138 244465 364817 365690 488930 545345 729634 1090690 1417897 1824085 2835794 3648170 4742621 7089485 9485242 10579693 14178970 21159386 23713105 47426210 52898465 105796930 137536009 275072018 687680045 1375360090