Search a number
-
+
70333680 = 24352271291
BaseRepresentation
bin1000011000100…
…11010011110000
311220100022200010
410030103103300
5121001134210
610551254520
71512553314
oct414232360
9156308603
1070333680
113677980a
121b67a440
1311757681
1494abb44
156294920
hex43134f0

70333680 has 80 divisors (see below), whose sum is σ = 219164544. Its totient is φ = 18658560.

The previous prime is 70333631. The next prime is 70333691. The reversal of 70333680 is 8633307.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53835 + ... + 55125.

Almost surely, 270333680 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 70333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109582272).

70333680 is an abundant number, since it is smaller than the sum of its proper divisors (148830864).

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

70333680 is a wasteful number, since it uses less digits than its factorization.

70333680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 70333680 is about 8386.5177517251. The cubic root of 70333680 is about 412.7823448071.

Adding to 70333680 its reverse (8633307), we get a palindrome (78966987).

The spelling of 70333680 in words is "seventy million, three hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1291 1362 1816 2270 2582 2724 3405 3632 3873 4540 5164 5448 6455 6810 7746 9080 10328 10896 12910 13620 15492 18160 19365 20656 25820 27240 30984 38730 51640 54480 61968 77460 103280 154920 293057 309840 586114 879171 1172228 1465285 1758342 2344456 2930570 3516684 4395855 4688912 5861140 7033368 8791710 11722280 14066736 17583420 23444560 35166840 70333680