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69871680 = 263358087
BaseRepresentation
bin1000010101000…
…10100001000000
311212110211221000
410022202201000
5120341343210
610533332000
71505620344
oct412424100
9155424830
1069871680
113649369a
121b497000
13116252b8
1493cb624
156202ac0
hex42a2840

69871680 has 112 divisors (see below), whose sum is σ = 246522240. Its totient is φ = 18630144.

The previous prime is 69871663. The next prime is 69871691. The reversal of 69871680 is 8617896.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4597 + ... + 12683.

Almost surely, 269871680 is an apocalyptic number.

69871680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123261120).

69871680 is an abundant number, since it is smaller than the sum of its proper divisors (176650560).

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

69871680 is a wasteful number, since it uses less digits than its factorization.

69871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 69871680 is about 8358.9281609546. The cubic root of 69871680 is about 411.8765457867.

The spelling of 69871680 in words is "sixty-nine million, eight hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8087 8640 16174 24261 32348 40435 48522 64696 72783 80870 97044 121305 129392 145566 161740 194088 218349 242610 258784 291132 323480 363915 388176 436698 485220 517568 582264 646960 727830 776352 873396 970440 1091745 1164528 1293920 1455660 1552704 1746792 1940880 2183490 2329056 2587840 2911320 3493584 3881760 4366980 4658112 5822640 6987168 7763520 8733960 11645280 13974336 17467920 23290560 34935840 69871680