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75151980 = 22325417511
BaseRepresentation
bin1000111101010…
…11101001101100
312020102010010200
410132223221230
5123214330410
611242433500
71601531661
oct436535154
9166363120
1075151980
113946a882
1221202890
1312753837
149da3a68
1568e73c0
hex47aba6c

75151980 has 36 divisors (see below), whose sum is σ = 227961552. Its totient is φ = 20040480.

The previous prime is 75151931. The next prime is 75151981. The reversal of 75151980 is 8915157.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×751519803 (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (75151981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208576 + ... + 208935.

Almost surely, 275151980 is an apocalyptic number.

It is an amenable number.

75151980 is an abundant number, since it is smaller than the sum of its proper divisors (152809572).

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

75151980 is a wasteful number, since it uses less digits than its factorization.

75151980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417526 (or 417521 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 75151980 is about 8669.0241665369. The cubic root of 75151980 is about 422.0009957824. Note that the first 3 decimals are identical.

The spelling of 75151980 in words is "seventy-five million, one hundred fifty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 417511 835022 1252533 1670044 2087555 2505066 3757599 4175110 5010132 6262665 7515198 8350220 12525330 15030396 18787995 25050660 37575990 75151980