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742080 = 2635773
BaseRepresentation
bin10110101001011000000
31101200221110
42311023000
5142221310
623523320
76210333
oct2651300
91350843
10742080
11467599
122b9540
131cca01
1415461a
15e9d20
hexb52c0

742080 has 56 divisors (see below), whose sum is σ = 2359152. Its totient is φ = 197632.

The previous prime is 742073. The next prime is 742111. The reversal of 742080 is 80247.

It is a happy number.

It is an Ulam number.

It is an unprimeable number.

742080 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, 574 + ... + 1346.

2742080 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 742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179576).

742080 is an abundant number, since it is smaller than the sum of its proper divisors (1617072).

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

742080 is a wasteful number, since it uses less digits than its factorization.

742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 742080 is about 861.4406537888. The cubic root of 742080 is about 90.5350840235.

The spelling of 742080 in words is "seven hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 773 960 1546 2319 3092 3865 4638 6184 7730 9276 11595 12368 15460 18552 23190 24736 30920 37104 46380 49472 61840 74208 92760 123680 148416 185520 247360 371040 742080