Search a number
-
+
161610064 = 24711472791
BaseRepresentation
bin10011010000111…
…11100101010000
3102021002122022221
421220133211100
5312333010224
624011510424
74001443240
oct1150374520
9367078287
10161610064
1183252040
1246158414
1327635575
141766bb20
15e2c46e4
hex9a1f950

161610064 has 80 divisors (see below), whose sum is σ = 398831616. Its totient is φ = 61603200.

The previous prime is 161610061. The next prime is 161610073. The reversal of 161610064 is 460016161.

It is a super-2 number, since 2×1616100642 = 52235625572168192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161610061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56509 + ... + 59299.

Almost surely, 2161610064 is an apocalyptic number.

161610064 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 161610064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199415808).

161610064 is an abundant number, since it is smaller than the sum of its proper divisors (237221552).

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

161610064 is a wasteful number, since it uses less digits than its factorization.

161610064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 161610064 is about 12712.5946997456. The cubic root of 161610064 is about 544.6984432807.

The spelling of 161610064 in words is "one hundred sixty-one million, six hundred ten thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 77 88 94 112 154 176 188 308 329 376 517 616 658 752 1034 1232 1316 2068 2632 2791 3619 4136 5264 5582 7238 8272 11164 14476 19537 22328 28952 30701 39074 44656 57904 61402 78148 122804 131177 156296 214907 245608 262354 312592 429814 491216 524708 859628 918239 1049416 1442947 1719256 1836478 2098832 2885894 3438512 3672956 5771788 7345912 10100629 11543576 14691824 20201258 23087152 40402516 80805032 161610064