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69412720 = 24513312153
BaseRepresentation
bin1000010001100…
…10011101110000
311211121112100111
410020302131300
5120232201340
610515431104
71501666306
oct410623560
9154545314
1069412720
11361aa893
121b2b5494
13114c4420
14930c276
156161aea
hex4232770

69412720 has 80 divisors (see below), whose sum is σ = 179488512. Its totient is φ = 24791040.

The previous prime is 69412711. The next prime is 69412723. The reversal of 69412720 is 2721496.

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 (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69412723) by changing a digit.

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, 31164 + ... + 33316.

Almost surely, 269412720 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 69412720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89744256).

69412720 is an abundant number, since it is smaller than the sum of its proper divisors (110075792).

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

69412720 is a wasteful number, since it uses less digits than its factorization.

69412720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 69412720 is about 8331.4296492259. The cubic root of 69412720 is about 410.9727448217.

The spelling of 69412720 in words is "sixty-nine million, four hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2153 2480 3224 4030 4306 6448 8060 8612 10765 16120 17224 21530 27989 32240 34448 43060 55978 66743 86120 111956 133486 139945 172240 223912 266972 279890 333715 447824 533944 559780 667430 867659 1067888 1119560 1334860 1735318 2239120 2669720 3470636 4338295 5339440 6941272 8676590 13882544 17353180 34706360 69412720