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69993072 = 2434531019
BaseRepresentation
bin1000010110000…
…00001001110000
311212201000110000
410023000021300
5120404234242
610540110000
71506634302
oct413001160
9155630400
1069993072
1136566916
121b535300
1311668626
14941d972
156228a4c
hex42c0270

69993072 has 100 divisors (see below), whose sum is σ = 206605080. Its totient is φ = 22868352.

The previous prime is 69993059. The next prime is 69993073. The reversal of 69993072 is 27039996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69993073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68179 + ... + 69197.

Almost surely, 269993072 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 69993072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103302540).

69993072 is an abundant number, since it is smaller than the sum of its proper divisors (136612008).

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

69993072 is a wasteful number, since it uses less digits than its factorization.

69993072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 69993072 is about 8366.1862279058. The cubic root of 69993072 is about 412.1149332158.

The spelling of 69993072 in words is "sixty-nine million, nine hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1019 1272 1296 1431 1908 2038 2544 2862 3057 3816 4076 4293 5724 6114 7632 8152 8586 9171 11448 12228 16304 17172 18342 22896 24456 27513 34344 36684 48912 54007 55026 68688 73368 82539 108014 110052 146736 162021 165078 216028 220104 324042 330156 432056 440208 486063 648084 660312 864112 972126 1296168 1320624 1458189 1944252 2592336 2916378 3888504 4374567 5832756 7777008 8749134 11665512 17498268 23331024 34996536 69993072