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69414920 = 23523197383
BaseRepresentation
bin1000010001100…
…11000000001000
311211121122100222
410020303000020
5120232234140
610515445212
71502005601
oct410630010
9154548328
1069414920
1136201503
121b2b6808
13114c5423
14930cda8
1561625b5
hex4233008

69414920 has 64 divisors (see below), whose sum is σ = 164229120. Its totient is φ = 26354944.

The previous prime is 69414913. The next prime is 69414937. The reversal of 69414920 is 2941496.

It is a super-2 number, since 2×694149202 = 9636862237212800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181049 + ... + 181431.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 269414920 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 69414920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82114560).

69414920 is an abundant number, since it is smaller than the sum of its proper divisors (94814200).

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

69414920 is a wasteful number, since it uses less digits than its factorization.

69414920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 69414920 is about 8331.5616783410. The cubic root of 69414920 is about 410.9770866315.

The spelling of 69414920 in words is "sixty-nine million, four hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 197 230 383 394 460 766 788 920 985 1532 1576 1915 1970 3064 3830 3940 4531 7660 7880 8809 9062 15320 17618 18124 22655 35236 36248 44045 45310 70472 75451 88090 90620 150902 176180 181240 301804 352360 377255 603608 754510 1509020 1735373 3018040 3470746 6941492 8676865 13882984 17353730 34707460 69414920