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70808960 = 275314383
BaseRepresentation
bin1000011100001…
…11010110000000
311221020110122002
410032013112000
5121111341320
611005403132
71516603055
oct416072600
9157213562
1070808960
1136a73902
121b8694a8
1311892ac1
14959302c
15633a675
hex4387580

70808960 has 128 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 26449920.

The previous prime is 70808957. The next prime is 70808971. The reversal of 70808960 is 6980807.

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

It is a congruent number.

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, 853079 + ... + 853161.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 270808960 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 70808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080).

70808960 is an abundant number, since it is smaller than the sum of its proper divisors (110147200).

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

70808960 is a wasteful number, since it uses less digits than its factorization.

70808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 70808960 is about 8414.8059989521. The cubic root of 70808960 is about 413.7100508156.

The spelling of 70808960 in words is "seventy million, eight hundred eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 64 80 83 86 124 128 155 160 166 172 215 248 310 320 332 344 415 430 496 620 640 664 688 830 860 992 1240 1328 1333 1376 1660 1720 1984 2480 2573 2656 2666 2752 3320 3440 3569 3968 4960 5146 5312 5332 5504 6640 6665 6880 7138 9920 10292 10624 10664 12865 13280 13330 13760 14276 17845 19840 20584 21328 25730 26560 26660 27520 28552 35690 41168 42656 51460 53120 53320 57104 71380 82336 85312 102920 106640 110639 114208 142760 164672 170624 205840 213280 221278 228416 285520 329344 411680 426560 442556 456832 553195 571040 823360 853120 885112 1106390 1142080 1646720 1770224 2212780 2284160 3540448 4425560 7080896 8851120 14161792 17702240 35404480 70808960