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160430072 = 231119229419
BaseRepresentation
bin10011000111111…
…11011111111000
3102011212200200112
421203333133320
5312032230242
623530323452
73655430105
oct1143773770
9364780615
10160430072
1182616540
1245889588
132731144a
1417441aac
15e13ec82
hex98ff7f8

160430072 has 64 divisors (see below), whose sum is σ = 347760000. Its totient is φ = 68618880.

The previous prime is 160430057. The next prime is 160430087. The reversal of 160430072 is 270034061.

160430072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (160430057) and next prime (160430087).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382679 + ... + 383097.

It is an arithmetic number, because the mean of its divisors is an integer number (5433750).

Almost surely, 2160430072 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 160430072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173880000).

160430072 is an abundant number, since it is smaller than the sum of its proper divisors (187329928).

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

160430072 is a wasteful number, since it uses less digits than its factorization.

160430072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 160430072 is about 12666.0993206275. The cubic root of 160430072 is about 543.3695027381.

The spelling of 160430072 in words is "one hundred sixty million, four hundred thirty thousand, seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 229 418 419 458 836 838 916 1672 1676 1832 2519 3352 4351 4609 5038 7961 8702 9218 10076 15922 17404 18436 20152 31844 34808 36872 47861 63688 87571 95722 95951 175142 191444 191902 350284 382888 383804 700568 767608 1055461 1823069 2110922 3646138 4221844 7292276 8443688 14584552 20053759 40107518 80215036 160430072