Search a number
-
+
70968320 = 210583167
BaseRepresentation
bin1000011101011…
…10010000000000
311221112120020022
410032232100000
5121131441240
611013033012
71521135503
oct416562000
9157476208
1070968320
1137072605
121b925768
131191a4b7
1495d513a
15636c9b5
hex43ae400

70968320 has 88 divisors (see below), whose sum is σ = 173323584. Its totient is φ = 27877376.

The previous prime is 70968311. The next prime is 70968323. The reversal of 70968320 is 2386907.

It is not an unprimeable number, because it can be changed into a prime (70968323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424877 + ... + 425043.

Almost surely, 270968320 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 70968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86661792).

70968320 is an abundant number, since it is smaller than the sum of its proper divisors (102355264).

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

70968320 is a wasteful number, since it uses less digits than its factorization.

70968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 70968320 is about 8424.2697012857. The cubic root of 70968320 is about 414.0201784061.

The spelling of 70968320 in words is "seventy million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 167 256 320 332 334 415 512 640 664 668 830 835 1024 1280 1328 1336 1660 1670 2560 2656 2672 3320 3340 5120 5312 5344 6640 6680 10624 10688 13280 13360 13861 21248 21376 26560 26720 27722 42496 42752 53120 53440 55444 69305 84992 85504 106240 106880 110888 138610 171008 212480 213760 221776 277220 424960 427520 443552 554440 855040 887104 1108880 1774208 2217760 3548416 4435520 7096832 8871040 14193664 17742080 35484160 70968320