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75056740 = 225113111097
BaseRepresentation
bin1000111100101…
…00011001100100
312020020021111021
410132110121210
5123203303430
611240420524
71600654213
oct436243144
9166207437
1075056740
1139405270
1221177744
131271c395
149d7b07a
1568c907a
hex4794664

75056740 has 48 divisors (see below), whose sum is σ = 172658304. Its totient is φ = 27180800.

The previous prime is 75056731. The next prime is 75056741. The reversal of 75056740 is 4765057.

It is a junction number, because it is equal to n+sod(n) for n = 75056696 and 75056705.

It is not an unprimeable number, because it can be changed into a prime (75056741) 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, 67872 + ... + 68968.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 275056740 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 75056740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86329152).

75056740 is an abundant number, since it is smaller than the sum of its proper divisors (97601564).

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

75056740 is a wasteful number, since it uses less digits than its factorization.

75056740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 75056740 is about 8663.5293039269. The cubic root of 75056740 is about 421.8226533313.

The spelling of 75056740 in words is "seventy-five million, fifty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1097 1244 1555 2194 3110 3421 4388 5485 6220 6842 10970 12067 13684 17105 21940 24134 34210 48268 60335 68420 120670 241340 341167 682334 1364668 1705835 3411670 3752837 6823340 7505674 15011348 18764185 37528370 75056740