Search a number
-
+
75774132 = 22327300691
BaseRepresentation
bin1001000010000…
…11100010110100
312021120201120100
410201003202310
5123344233012
611304034100
71610032560
oct441034264
9167521510
1075774132
1139855255
1221462930
1312910a85
14a0c66a0
1569bb8dc
hex48438b4

75774132 has 36 divisors (see below), whose sum is σ = 218903776. Its totient is φ = 21649680.

The previous prime is 75774131. The next prime is 75774157. The reversal of 75774132 is 23147757.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75774131) 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, 150094 + ... + 150597.

Almost surely, 275774132 is an apocalyptic number.

It is an amenable number.

75774132 is an abundant number, since it is smaller than the sum of its proper divisors (143129644).

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

75774132 is a wasteful number, since it uses less digits than its factorization.

75774132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300708 (or 300703 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 75774132 is about 8704.8338295455. The cubic root of 75774132 is about 423.1623205483.

The spelling of 75774132 in words is "seventy-five million, seven hundred seventy-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 300691 601382 902073 1202764 1804146 2104837 2706219 3608292 4209674 5412438 6314511 8419348 10824876 12629022 18943533 25258044 37887066 75774132