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75328140 = 22353140499
BaseRepresentation
bin1000111110101…
…10101010001100
312020202001210010
410133112222030
5123241000030
611250313220
71603164366
oct437265214
9166661703
1075328140
1139580168
1221288810
13127b5a84
14a00bd36
15692e6b0
hex47d6a8c

75328140 has 48 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 19439040.

The previous prime is 75328081. The next prime is 75328147. The reversal of 75328140 is 4182357.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75328098 and 75328107.

It is not an unprimeable number, because it can be changed into a prime (75328147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18390 + ... + 22109.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 275328140 is an apocalyptic number.

It is an amenable number.

75328140 is an abundant number, since it is smaller than the sum of its proper divisors (142399860).

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

75328140 is a wasteful number, since it uses less digits than its factorization.

75328140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40542 (or 40540 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 75328140 is about 8679.1785325571. The cubic root of 75328140 is about 422.3304689629.

The spelling of 75328140 in words is "seventy-five million, three hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 40499 80998 121497 161996 202495 242994 404990 485988 607485 809980 1214970 1255469 2429940 2510938 3766407 5021876 6277345 7532814 12554690 15065628 18832035 25109380 37664070 75328140