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745280 = 26517137
BaseRepresentation
bin10110101111101000000
31101212022222
42311331000
5142322110
623550212
76222554
oct2657500
91355288
10745280
11469a38
122bb368
132012c3
14155864
15eac55
hexb5f40

745280 has 56 divisors (see below), whose sum is σ = 1892808. Its totient is φ = 278528.

The previous prime is 745273. The next prime is 745301. The reversal of 745280 is 82547.

745280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 565504 = 424^2 + 752^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

745280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5372 + ... + 5508.

2745280 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 745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946404).

745280 is an abundant number, since it is smaller than the sum of its proper divisors (1147528).

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

745280 is a wasteful number, since it uses less digits than its factorization.

745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 745280 is about 863.2960094892. The cubic root of 745280 is about 90.6650326503.

The spelling of 745280 in words is "seven hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 137 160 170 272 274 320 340 544 548 680 685 1088 1096 1360 1370 2192 2329 2720 2740 4384 4658 5440 5480 8768 9316 10960 11645 18632 21920 23290 37264 43840 46580 74528 93160 149056 186320 372640 745280