Search a number
-
+
69030480 = 2435436689
BaseRepresentation
bin1000001110101…
…01001001010000
311210220010000110
410013111021100
5120132433410
610503321320
71465515021
oct407251120
9153803013
1069030480
1135a69692
121b150240
13113bc44c
14924cc48
1560d8720
hex41d5250

69030480 has 80 divisors (see below), whose sum is σ = 219003840. Its totient is φ = 17977344.

The previous prime is 69030461. The next prime is 69030487. The reversal of 69030480 is 8403096.

It is a tau number, because it is divible by the number of its divisors (80).

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 (69030487) 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, 6976 + ... + 13664.

It is an arithmetic number, because the mean of its divisors is an integer number (2737548).

Almost surely, 269030480 is an apocalyptic number.

69030480 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 69030480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109501920).

69030480 is an abundant number, since it is smaller than the sum of its proper divisors (149973360).

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

69030480 is a wasteful number, since it uses less digits than its factorization.

69030480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 69030480 is about 8308.4583407513. The cubic root of 69030480 is about 410.2169781518.

The spelling of 69030480 in words is "sixty-nine million, thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 6689 10320 13378 20067 26756 33445 40134 53512 66890 80268 100335 107024 133780 160536 200670 267560 287627 321072 401340 535120 575254 802680 862881 1150508 1438135 1605360 1725762 2301016 2876270 3451524 4314405 4602032 5752540 6903048 8628810 11505080 13806096 17257620 23010160 34515240 69030480