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75231040 = 2652331009
BaseRepresentation
bin1000111101111…
…10111101000000
312020120010120211
410132332331000
5123224343130
611244243504
71602311323
oct436767500
9166503524
1075231040
1139514215
1221240594
1312780811
149dc47ba
156910a2a
hex47bef40

75231040 has 56 divisors (see below), whose sum is σ = 180091080. Its totient is φ = 29933568.

The previous prime is 75231019. The next prime is 75231041. The reversal of 75231040 is 4013257.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 74926336 = 552^2 + 8656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75231041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74056 + ... + 75064.

Almost surely, 275231040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90045540).

75231040 is an abundant number, since it is smaller than the sum of its proper divisors (104860040).

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

75231040 is a wasteful number, since it uses less digits than its factorization.

75231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 75231040 is about 8673.5828813703. The cubic root of 75231040 is about 422.1489258219.

Adding to 75231040 its reverse (4013257), we get a palindrome (79244297).

The spelling of 75231040 in words is "seventy-five million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 233 320 466 932 1009 1165 1864 2018 2330 3728 4036 4660 5045 7456 8072 9320 10090 14912 16144 18640 20180 32288 37280 40360 64576 74560 80720 161440 235097 322880 470194 940388 1175485 1880776 2350970 3761552 4701940 7523104 9403880 15046208 18807760 37615520 75231040