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75138063 = 371113131191
BaseRepresentation
bin1000111101010…
…00010000001111
312020101102001020
410132220100033
5123213404223
611242245223
71601443260
oct436502017
9166342036
1075138063
1139460380
12211b6813
131274a3c0
149d9c967
1568e31e3
hex47a840f

75138063 has 64 divisors (see below), whose sum is σ = 136249344. Its totient is φ = 35568000.

The previous prime is 75138059. The next prime is 75138067. The reversal of 75138063 is 36083157.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75138059) and next prime (75138067).

It is not a de Polignac number, because 75138063 - 22 = 75138059 is a prime.

It is a super-2 number, since 2×751380632 = 11291457022783938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75138067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393298 + ... + 393488.

It is an arithmetic number, because the mean of its divisors is an integer number (2128896).

Almost surely, 275138063 is an apocalyptic number.

75138063 is a deficient number, since it is larger than the sum of its proper divisors (61111281).

75138063 is a wasteful number, since it uses less digits than its factorization.

75138063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 75138063 is about 8668.2214438719. The cubic root of 75138063 is about 421.9749447925.

It can be divided in two parts, 7513 and 8063, that added together give a triangular number (15576 = T176).

The spelling of 75138063 in words is "seventy-five million, one hundred thirty-eight thousand, sixty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 131 143 191 231 273 393 429 573 917 1001 1337 1441 1703 2101 2483 2751 3003 4011 4323 5109 6303 7449 10087 11921 14707 17381 18733 25021 27313 30261 35763 44121 52143 56199 75063 81939 131131 175147 191191 275231 325273 393393 525441 573573 825693 975819 1926617 2276911 3578003 5779851 6830733 10734009 25046021 75138063