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75114240 = 283531631
BaseRepresentation
bin1000111101000…
…10011100000000
312020100012100220
410132202130000
5123212123430
611241543040
71601313645
oct436423400
9166305326
1075114240
1139444493
12211a4a80
131273c5c6
149d93dcc
1568db110
hex47a2700

75114240 has 144 divisors (see below), whose sum is σ = 248027136. Its totient is φ = 19353600.

The previous prime is 75114233. The next prime is 75114283. The reversal of 75114240 is 4241157.

75114240 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 75114240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118725 + ... + 119355.

Almost surely, 275114240 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 75114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124013568).

75114240 is an abundant number, since it is smaller than the sum of its proper divisors (172912896).

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

75114240 is a wasteful number, since it uses less digits than its factorization.

75114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 75114240 is about 8666.8471776073. The cubic root of 75114240 is about 421.9303434665.

Adding to 75114240 its reverse (4241157), we get a palindrome (79355397).

The spelling of 75114240 in words is "seventy-five million, one hundred fourteen thousand, two hundred forty".