Search a number
-
+
83360772 = 22331126379
BaseRepresentation
bin1001111011111…
…11110000000100
312210212011111000
410331333300010
5132320021042
612134413300
72031361215
oct475776004
9183764430
1083360772
1143067200
1223b01230
1314369001
14b0dd40c
1574b974c
hex4f7fc04

83360772 has 72 divisors (see below), whose sum is σ = 237591200. Its totient is φ = 25256880.

The previous prime is 83360759. The next prime is 83360803. The reversal of 83360772 is 27706338.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9879 + ... + 16257.

Almost surely, 283360772 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 83360772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118795600).

83360772 is an abundant number, since it is smaller than the sum of its proper divisors (154230428).

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

83360772 is a wasteful number, since it uses less digits than its factorization.

83360772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 83360772 is about 9130.2120457304. The cubic root of 83360772 is about 436.8381668739.

The spelling of 83360772 in words is "eighty-three million, three hundred sixty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6379 6534 12758 13068 19137 25516 38274 57411 70169 76548 114822 140338 172233 210507 229644 280676 344466 421014 631521 688932 771859 842028 1263042 1543718 1894563 2315577 2526084 3087436 3789126 4631154 6946731 7578252 9262308 13893462 20840193 27786924 41680386 83360772