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69213312 = 273372861
BaseRepresentation
bin1000010000000…
…01110010000000
311211020101211000
410020001302000
5120204311222
610511252000
71500206040
oct410016200
9154211730
1069213312
1136083a93
121b21a000
131145472c
149299720
1561229ac
hex4201c80

69213312 has 128 divisors (see below), whose sum is σ = 233539200. Its totient is φ = 19768320.

The previous prime is 69213301. The next prime is 69213323. The reversal of 69213312 is 21331296.

It is an interprime number because it is at equal distance from previous prime (69213301) and next prime (69213323).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22762 + ... + 25622.

It is an arithmetic number, because the mean of its divisors is an integer number (1824525).

Almost surely, 269213312 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 69213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116769600).

69213312 is an abundant number, since it is smaller than the sum of its proper divisors (164325888).

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

69213312 is a wasteful number, since it uses less digits than its factorization.

69213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2873 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 69213312 is about 8319.4538282269. The cubic root of 69213312 is about 410.5788215621.

The spelling of 69213312 in words is "sixty-nine million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 2861 3024 3456 4032 5722 6048 8064 8583 11444 12096 17166 20027 22888 24192 25749 34332 40054 45776 51498 60081 68664 77247 80108 91552 102996 120162 137328 154494 160216 180243 183104 205992 240324 274656 308988 320432 360486 366208 411984 480648 540729 549312 617976 640864 720972 823968 961296 1081458 1098624 1235952 1281728 1441944 1647936 1922592 2162916 2471904 2563456 2883888 3295872 3845184 4325832 4943808 5767776 7690368 8651664 9887616 11535552 17303328 23071104 34606656 69213312