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69564040 = 23571329659
BaseRepresentation
bin1000010010101…
…11011010001000
311211220012220221
410021113122020
5120302022130
610522555424
71503166420
oct411273210
9154805827
1069564040
11362a3547
121b368b74
1311548270
14934b480
15619187a
hex4257688

69564040 has 128 divisors (see below), whose sum is σ = 199584000. Its totient is φ = 21224448.

The previous prime is 69563993. The next prime is 69564059. The reversal of 69564040 is 4046596.

It is a super-2 number, since 2×695640402 = 9678311322243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 69563987 and 69564005.

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 31 ways as a sum of consecutive naturals, for example, 105231 + ... + 105889.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 269564040 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 69564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792000).

69564040 is an abundant number, since it is smaller than the sum of its proper divisors (130019960).

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

69564040 is a wasteful number, since it uses less digits than its factorization.

69564040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 69564040 is about 8340.5059798552. The cubic root of 69564040 is about 411.2711687997.

The spelling of 69564040 in words is "sixty-nine million, five hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 29 35 40 52 56 58 65 70 91 104 116 130 140 145 182 203 232 260 280 290 364 377 406 455 520 580 659 728 754 812 910 1015 1160 1318 1508 1624 1820 1885 2030 2636 2639 3016 3295 3640 3770 4060 4613 5272 5278 6590 7540 8120 8567 9226 10556 13180 13195 15080 17134 18452 19111 21112 23065 26360 26390 34268 36904 38222 42835 46130 52780 59969 68536 76444 85670 92260 95555 105560 119938 133777 152888 171340 184520 191110 239876 248443 267554 299845 342680 382220 479752 496886 535108 599690 668885 764440 993772 1070216 1199380 1242215 1337770 1739101 1987544 2398760 2484430 2675540 3478202 4968860 5351080 6956404 8695505 9937720 13912808 17391010 34782020 69564040