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69856640 = 275731503
BaseRepresentation
bin1000010100111…
…10110110000000
311212110002021222
410022132312000
5120340403030
610533134212
71505525450
oct412366600
9155402258
1069856640
1136483367
121b48a368
131161b4b9
1493c5d60
1561ed3e5
hex429ed80

69856640 has 128 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 23132160.

The previous prime is 69856627. The next prime is 69856663. The reversal of 69856640 is 4665896.

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

It is a junction number, because it is equal to n+sod(n) for n = 69856591 and 69856600.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 138629 + ... + 139131.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 269856640 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 69856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

69856640 is an abundant number, since it is smaller than the sum of its proper divisors (127550080).

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

69856640 is a wasteful number, since it uses less digits than its factorization.

69856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 69856640 is about 8358.0284756634. The cubic root of 69856640 is about 411.8469912864.

The spelling of 69856640 in words is "sixty-nine million, eight hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 503 560 620 640 868 896 992 1006 1085 1120 1240 1736 1984 2012 2170 2240 2480 2515 3472 3521 3968 4024 4340 4480 4960 5030 6944 7042 8048 8680 9920 10060 13888 14084 15593 16096 17360 17605 19840 20120 27776 28168 31186 32192 34720 35210 40240 56336 62372 64384 69440 70420 77965 80480 109151 112672 124744 138880 140840 155930 160960 218302 225344 249488 281680 311860 321920 436604 450688 498976 545755 563360 623720 873208 997952 1091510 1126720 1247440 1746416 1995904 2183020 2253440 2494880 3492832 4366040 4989760 6985664 8732080 9979520 13971328 17464160 34928320 69856640