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161045164 = 22723753419
BaseRepresentation
bin10011001100101…
…01101010101100
3102020000221102201
421212111222230
5312211421124
623551431244
73663601300
oct1146255254
9366027381
10161045164
11829a6685
1245b25524
13274983c7
1417561d00
15e212144
hex9995aac

161045164 has 72 divisors (see below), whose sum is σ = 343874160. Its totient is φ = 65729664.

The previous prime is 161045113. The next prime is 161045167. The reversal of 161045164 is 461540161.

161045164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161045167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384147 + ... + 384565.

It is an arithmetic number, because the mean of its divisors is an integer number (4776030).

Almost surely, 2161045164 is an apocalyptic number.

161045164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161045164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171937080).

161045164 is an abundant number, since it is smaller than the sum of its proper divisors (182828996).

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

161045164 is a wasteful number, since it uses less digits than its factorization.

161045164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 161045164 is about 12690.3571265745. The cubic root of 161045164 is about 544.0630468668.

The spelling of 161045164 in words is "one hundred sixty-one million, forty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 37 49 53 74 98 106 148 196 212 259 371 419 518 742 838 1036 1484 1676 1813 1961 2597 2933 3626 3922 5194 5866 7252 7844 10388 11732 13727 15503 20531 22207 27454 31006 41062 44414 54908 62012 82124 88828 96089 108521 155449 192178 217042 310898 384356 434084 621796 759647 821659 1088143 1519294 1643318 2176286 3038588 3286636 4352572 5751613 11503226 23006452 40261291 80522582 161045164