Search a number
-
+
70321120 = 2552397197
BaseRepresentation
bin1000011000100…
…00001111100000
311220022200102221
410030100033200
5121000233440
610551120424
71512501562
oct414201740
9156280387
1070321120
1136770331
121b673114
1311751a3c
1494a7332
156290d4a
hex43103e0

70321120 has 96 divisors (see below), whose sum is σ = 176033088. Its totient is φ = 26492928.

The previous prime is 70321117. The next prime is 70321151. The reversal of 70321120 is 2112307.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 70321094 and 70321103.

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, 356862 + ... + 357058.

It is an arithmetic number, because the mean of its divisors is an integer number (1833678).

Almost surely, 270321120 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 70321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88016544).

70321120 is an abundant number, since it is smaller than the sum of its proper divisors (105711968).

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

70321120 is a wasteful number, since it uses less digits than its factorization.

70321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 70321120 is about 8385.7688973642. The cubic root of 70321120 is about 412.7577721562.

Adding to 70321120 its reverse (2112307), we get a palindrome (72433427).

The spelling of 70321120 in words is "seventy million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 97 115 160 184 194 197 230 368 388 394 460 485 736 776 788 920 970 985 1552 1576 1840 1940 1970 2231 3104 3152 3680 3880 3940 4462 4531 6304 7760 7880 8924 9062 11155 15520 15760 17848 18124 19109 22310 22655 31520 35696 36248 38218 44620 45310 71392 72496 76436 89240 90620 95545 144992 152872 178480 181240 191090 305744 356960 362480 382180 439507 611488 724960 764360 879014 1528720 1758028 2197535 3057440 3516056 4395070 7032112 8790140 14064224 17580280 35160560 70321120