[go: up one dir, main page]

Search a number
-
+
720432064 = 26112313001
BaseRepresentation
bin101010111100001…
…110101111000000
31212012121202000001
4222330032233000
52433412311224
6155253205344
723565400012
oct5274165700
91765552001
10720432064
1133a735300
12181330854
13b6344381
146b9761b2
15433ab544
hex2af0ebc0

720432064 has 84 divisors (see below), whose sum is σ = 1622617024. Its totient is φ = 316800000.

The previous prime is 720432043. The next prime is 720432107. The reversal of 720432064 is 460234027.

720432064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238564 + ... + 241564.

Almost surely, 2720432064 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 720432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811308512).

720432064 is an abundant number, since it is smaller than the sum of its proper divisors (902184960).

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

720432064 is a wasteful number, since it uses less digits than its factorization.

720432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 720432064 is about 26840.8655598138. The cubic root of 720432064 is about 896.4601962079.

The spelling of 720432064 in words is "seven hundred twenty million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 176 242 248 341 352 484 496 682 704 968 992 1364 1936 1984 2728 3001 3751 3872 5456 6002 7502 7744 10912 12004 15004 21824 24008 30008 33011 48016 60016 66022 93031 96032 120032 132044 186062 192064 240064 264088 363121 372124 528176 726242 744248 1023341 1056352 1452484 1488496 2046682 2112704 2904968 2976992 4093364 5809936 5953984 8186728 11256751 11619872 16373456 22513502 23239744 32746912 45027004 65493824 90054008 180108016 360216032 720432064