Search a number
-
+
70731144 = 2334119923
BaseRepresentation
bin1000011011101…
…00010110001000
311221002111220000
410031310112020
5121101344034
611004003000
71516130151
oct415642610
9157074800
1070731144
1136a203a0
121b830460
1311866563
149572928
156322599
hex4374588

70731144 has 80 divisors (see below), whose sum is σ = 216144720. Its totient is φ = 21431520.

The previous prime is 70731137. The next prime is 70731179. The reversal of 70731144 is 44113707.

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

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 19 ways as a sum of consecutive naturals, for example, 2167 + ... + 12089.

It is an arithmetic number, because the mean of its divisors is an integer number (2701809).

Almost surely, 270731144 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 70731144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108072360).

70731144 is an abundant number, since it is smaller than the sum of its proper divisors (145413576).

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

70731144 is a wasteful number, since it uses less digits than its factorization.

70731144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 70731144 is about 8410.1809730826. The cubic root of 70731144 is about 413.5584454184.

The spelling of 70731144 in words is "seventy million, seven hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 9923 19846 29769 39692 59538 79384 89307 109153 119076 178614 218306 238152 267921 327459 357228 436612 535842 654918 714456 803763 873224 982377 1071684 1309836 1607526 1964754 2143368 2619672 2947131 3215052 3929508 5894262 6430104 7859016 8841393 11788524 17682786 23577048 35365572 70731144