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69243200 = 2652133329
BaseRepresentation
bin1000010000010…
…01000101000000
311211021220210222
410020021011000
5120211240300
610512042212
71500362135
oct410110500
9154256728
1069243200
11360a4494
121b233368
1311465210
1492a658c
15612b785
hex4209140

69243200 has 84 divisors (see below), whose sum is σ = 183542940. Its totient is φ = 25559040.

The previous prime is 69243143. The next prime is 69243221. The reversal of 69243200 is 234296.

It can be written as a sum of positive squares in 6 ways, for example, as 10137856 + 59105344 = 3184^2 + 7688^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 69243200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19136 + ... + 22464.

It is an arithmetic number, because the mean of its divisors is an integer number (2185035).

Almost surely, 269243200 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 69243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91771470).

69243200 is an abundant number, since it is smaller than the sum of its proper divisors (114299740).

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

69243200 is a wasteful number, since it uses less digits than its factorization.

69243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 69243200 is about 8321.2499061139. The cubic root of 69243200 is about 410.6379123811.

Adding to 69243200 its reverse (234296), we get a palindrome (69477496).

The spelling of 69243200 in words is "sixty-nine million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 3329 4160 5200 6658 10400 13316 16645 20800 26632 33290 43277 53264 66580 83225 86554 106528 133160 166450 173108 213056 216385 266320 332900 346216 432770 532640 665800 692432 865540 1065280 1081925 1331600 1384864 1731080 2163850 2663200 2769728 3462160 4327700 5326400 6924320 8655400 13848640 17310800 34621600 69243200