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161396064 = 253471877
BaseRepresentation
bin10011001111010…
…11010101100000
3102020200202210000
421213223111200
5312304133224
624003140000
73666562314
oct1147532540
9366622700
10161396064
1183116285
1246074600
132758c03b
1417613b44
15e2810c9
hex99eb560

161396064 has 120 divisors (see below), whose sum is σ = 481895568. Its totient is φ = 52980480.

The previous prime is 161396063. The next prime is 161396141. The reversal of 161396064 is 460693161.

161396064 is a `hidden beast` number, since 16 + 1 + 39 + 606 + 4 = 666.

161396064 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161396063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 183594 + ... + 184470.

Almost surely, 2161396064 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 161396064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240947784).

161396064 is an abundant number, since it is smaller than the sum of its proper divisors (320499504).

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

161396064 is an equidigital number, since it uses as much as digits as its factorization.

161396064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 161396064 is about 12704.1750617661. The cubic root of 161396064 is about 544.4579117344.

The spelling of 161396064 in words is "one hundred sixty-one million, three hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 877 1136 1278 1296 1704 1754 1917 2272 2556 2592 2631 3408 3508 3834 5112 5262 5751 6816 7016 7668 7893 10224 10524 11502 14032 15336 15786 20448 21048 23004 23679 28064 30672 31572 42096 46008 47358 61344 62267 63144 71037 84192 92016 94716 124534 126288 142074 184032 186801 189432 249068 252576 284148 373602 378864 498136 560403 568296 747204 757728 996272 1120806 1136592 1494408 1681209 1992544 2241612 2273184 2988816 3362418 4483224 5043627 5977632 6724836 8966448 10087254 13449672 17932896 20174508 26899344 40349016 53798688 80698032 161396064