Search a number
-
+
70320960 = 263452713
BaseRepresentation
bin1000011000100…
…00001101000000
311220022200020000
410030100031000
5121000232320
610551120000
71512501243
oct414201500
9156280200
1070320960
11367701a6
121b673000
1311751948
1494a725a
156290c90
hex4310340

70320960 has 140 divisors (see below), whose sum is σ = 250236228. Its totient is φ = 18745344.

The previous prime is 70320937. The next prime is 70320967. The reversal of 70320960 is 6902307.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 17438976 = 7272^2 + 4176^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70320967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24564 + ... + 27276.

Almost surely, 270320960 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 70320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125118114).

70320960 is an abundant number, since it is smaller than the sum of its proper divisors (179915268).

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

70320960 is a wasteful number, since it uses less digits than its factorization.

70320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 70320960 is about 8385.7593573868. The cubic root of 70320960 is about 412.7574591099.

The spelling of 70320960 in words is "seventy million, three hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2713 2880 3240 4320 5184 5426 6480 8139 8640 10852 12960 13565 16278 21704 24417 25920 27130 32556 40695 43408 48834 54260 65112 73251 81390 86816 97668 108520 122085 130224 146502 162780 173632 195336 217040 219753 244170 260448 293004 325560 366255 390672 434080 439506 488340 520896 586008 651120 732510 781344 868160 879012 976680 1098765 1172016 1302240 1465020 1562688 1758024 1953360 2197530 2344032 2604480 2930040 3516048 3906720 4395060 4688064 5860080 7032096 7813440 8790120 11720160 14064192 17580240 23440320 35160480 70320960