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1327140198 = 2323719110433
BaseRepresentation
bin100111100011010…
…1000110101100110
310102111020201002200
41033012220311212
510204221441243
6335405115330
744613335256
oct11706506546
93374221080
101327140198
1162115508a
12310558b46
13181c4b377
14c8387966
157b7a1ad3
hex4f1a8d66

1327140198 has 48 divisors (see below), whose sum is σ = 2968932096. Its totient is φ = 428129280.

The previous prime is 1327140187. The next prime is 1327140209. The reversal of 1327140198 is 8910417231.

It is a happy number.

1327140198 is a `hidden beast` number, since 1 + 327 + 140 + 198 = 666.

It is an interprime number because it is at equal distance from previous prime (1327140187) and next prime (1327140209).

It is a super-2 number, since 2×13271401982 = 3522602210294958408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121990 + ... + 132422.

It is an arithmetic number, because the mean of its divisors is an integer number (61852752).

Almost surely, 21327140198 is an apocalyptic number.

1327140198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327140198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484466048).

1327140198 is an abundant number, since it is smaller than the sum of its proper divisors (1641791898).

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

1327140198 is a wasteful number, since it uses less digits than its factorization.

1327140198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10666 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1327140198 is about 36429.9354652187. The cubic root of 1327140198 is about 1098.9356641681.

The spelling of 1327140198 in words is "one billion, three hundred twenty-seven million, one hundred forty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 37 74 111 191 222 333 382 573 666 1146 1719 3438 7067 10433 14134 20866 21201 31299 42402 62598 63603 93897 127206 187794 386021 772042 1158063 1992703 2316126 3474189 3985406 5978109 6948378 11956218 17934327 35868654 73730011 147460022 221190033 442380066 663570099 1327140198