Search a number
-
+
69042360 = 23354114033
BaseRepresentation
bin1000001110110…
…00000010111000
311210220201022110
410013120002320
5120133323420
610503452320
71465564452
oct407300270
9153821273
1069042360
1135a77602
121b1570a0
13113c498a
1492532d2
1560dbee0
hex41d80b8

69042360 has 64 divisors (see below), whose sum is σ = 212194080. Its totient is φ = 17960960.

The previous prime is 69042349. The next prime is 69042367. The reversal of 69042360 is 6324096.

It is a Smith number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69042367) 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, 2097 + ... + 11936.

Almost surely, 269042360 is an apocalyptic number.

69042360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69042360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106097040).

69042360 is an abundant number, since it is smaller than the sum of its proper divisors (143151720).

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

69042360 is a wasteful number, since it uses less digits than its factorization.

69042360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14088 (or 14084 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 69042360 is about 8309.1732440719. The cubic root of 69042360 is about 410.2405092942.

The spelling of 69042360 in words is "sixty-nine million, forty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 14033 28066 42099 56132 70165 84198 112264 140330 168396 210495 280660 336792 420990 561320 575353 841980 1150706 1683960 1726059 2301412 2876765 3452118 4602824 5753530 6904236 8630295 11507060 13808472 17260590 23014120 34521180 69042360