Search a number
-
+
69028320 = 2535314639
BaseRepresentation
bin1000001110101…
…00100111100000
311210220000001110
410013110213200
5120132401240
610503303320
71465505514
oct407244740
9153800043
1069028320
1135a67aa9
121b14ab40
13113bb47a
14924c144
1560d7c80
hex41d49e0

69028320 has 96 divisors (see below), whose sum is σ = 224501760. Its totient is φ = 17809920.

The previous prime is 69028303. The next prime is 69028357. The reversal of 69028320 is 2382096.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12561 + ... + 17199.

It is an arithmetic number, because the mean of its divisors is an integer number (2338560).

Almost surely, 269028320 is an apocalyptic number.

69028320 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 69028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112250880).

69028320 is an abundant number, since it is smaller than the sum of its proper divisors (155473440).

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

69028320 is a wasteful number, since it uses less digits than its factorization.

69028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4680 counting only the distinct ones).

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

The square root of 69028320 is about 8308.3283517203. The cubic root of 69028320 is about 410.2126994723.

The spelling of 69028320 in words is "sixty-nine million, twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4639 4960 7440 9278 13917 14880 18556 23195 27834 37112 46390 55668 69585 74224 92780 111336 139170 143809 148448 185560 222672 278340 287618 371120 431427 445344 556680 575236 719045 742240 862854 1113360 1150472 1438090 1725708 2157135 2226720 2300944 2876180 3451416 4314270 4601888 5752360 6902832 8628540 11504720 13805664 17257080 23009440 34514160 69028320