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7045480 = 2351317797
BaseRepresentation
bin11010111000000101101000
3111020221120201
4122320011220
53300423410
6411001544
7113612521
oct32700550
914227521
107045480
113a82412
1224392b4
1315c8b30
14d15848
1594283a
hex6b8168

7045480 has 64 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 2445312.

The previous prime is 7045469. The next prime is 7045487. The reversal of 7045480 is 845407.

It can be written as a sum of positive squares in 8 ways, for example, as 2643876 + 4401604 = 1626^2 + 2098^2 .

It is a super-3 number, since 3×70454803 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7045487) 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, 8442 + ... + 9238.

Almost surely, 27045480 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 7045480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).

7045480 is an abundant number, since it is smaller than the sum of its proper divisors (11053160).

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

7045480 is a wasteful number, since it uses less digits than its factorization.

7045480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 7045480 is about 2654.3323077565. The cubic root of 7045480 is about 191.7065105152.

The spelling of 7045480 in words is "seven million, forty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 797 884 1105 1594 1768 2210 3188 3985 4420 6376 7970 8840 10361 13549 15940 20722 27098 31880 41444 51805 54196 67745 82888 103610 108392 135490 176137 207220 270980 352274 414440 541960 704548 880685 1409096 1761370 3522740 7045480