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69168096 = 2532376491
BaseRepresentation
bin1000001111101…
…10101111100000
311211011002210100
410013312233200
5120201334341
610510302400
71466630154
oct407665740
9154132710
1069168096
1136053018
121b1b7a00
1311439c8a
149287064
1561143b6
hex41f6be0

69168096 has 72 divisors (see below), whose sum is σ = 202044024. Its totient is φ = 22429440.

The previous prime is 69168049. The next prime is 69168097. The reversal of 69168096 is 69086196.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69168097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7411 + ... + 13901.

It is an arithmetic number, because the mean of its divisors is an integer number (2806167).

Almost surely, 269168096 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 69168096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101022012).

69168096 is an abundant number, since it is smaller than the sum of its proper divisors (132875928).

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

69168096 is a wasteful number, since it uses less digits than its factorization.

69168096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 69168096 is about 8316.7358981754. The cubic root of 69168096 is about 410.4893937935.

The spelling of 69168096 in words is "sixty-nine million, one hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 6491 10656 12982 19473 25964 38946 51928 58419 77892 103856 116838 155784 207712 233676 240167 311568 467352 480334 623136 720501 934704 960668 1441002 1869408 1921336 2161503 2882004 3842672 4323006 5764008 7685344 8646012 11528016 17292024 23056032 34584048 69168096