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69664640 = 2751719337
BaseRepresentation
bin1000010011011…
…11111110000000
311212002022220212
410021233332000
5120313232030
610525053252
71504065623
oct411577600
9155068825
1069664640
1136362091
121b3b7228
1311581ca6
149375dba
1561b1595
hex426ff80

69664640 has 128 divisors (see below), whose sum is σ = 186170400. Its totient is φ = 24772608.

The previous prime is 69664627. The next prime is 69664643. The reversal of 69664640 is 4646696.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69664643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206552 + ... + 206888.

Almost surely, 269664640 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 69664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93085200).

69664640 is an abundant number, since it is smaller than the sum of its proper divisors (116505760).

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

69664640 is a wasteful number, since it uses less digits than its factorization.

69664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 69664640 is about 8346.5346102439. The cubic root of 69664640 is about 411.4693265036.

The spelling of 69664640 in words is "sixty-nine million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 128 136 152 160 170 190 272 304 320 323 337 340 380 544 608 640 646 674 680 760 1088 1216 1292 1348 1360 1520 1615 1685 2176 2432 2584 2696 2720 3040 3230 3370 5168 5392 5440 5729 6080 6403 6460 6740 10336 10784 10880 11458 12160 12806 12920 13480 20672 21568 22916 25612 25840 26960 28645 32015 41344 43136 45832 51224 51680 53920 57290 64030 91664 102448 103360 107840 108851 114580 128060 183328 204896 206720 215680 217702 229160 256120 366656 409792 435404 458320 512240 544255 733312 819584 870808 916640 1024480 1088510 1741616 1833280 2048960 2177020 3483232 3666560 4097920 4354040 6966464 8708080 13932928 17416160 34832320 69664640