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161589064 = 23721337857
BaseRepresentation
bin10011010000110…
…10011101001000
3102021001120112011
421220122131020
5312331322224
624011225304
74001325100
oct1150323510
9367046464
10161589064
118323828a
1246148234
1327628b40
1417664200
15e2bd394
hex9a1a748

161589064 has 96 divisors (see below), whose sum is σ = 390269880. Its totient is φ = 62125056.

The previous prime is 161589047. The next prime is 161589079. The reversal of 161589064 is 460985161.

It can be written as a sum of positive squares in 4 ways, for example, as 159820164 + 1768900 = 12642^2 + 1330^2 .

It is a super-2 number, since 2×1615890642 = 52222051208792192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188124 + ... + 188980.

Almost surely, 2161589064 is an apocalyptic number.

161589064 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 161589064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195134940).

161589064 is an abundant number, since it is smaller than the sum of its proper divisors (228680816).

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

161589064 is a wasteful number, since it uses less digits than its factorization.

161589064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 161589064 is about 12711.7687203630. The cubic root of 161589064 is about 544.6748491172.

The spelling of 161589064 in words is "one hundred sixty-one million, five hundred eighty-nine thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 37 49 52 56 74 91 98 104 148 182 196 259 296 364 392 481 518 637 728 857 962 1036 1274 1714 1813 1924 2072 2548 3367 3428 3626 3848 5096 5999 6734 6856 7252 11141 11998 13468 14504 22282 23569 23996 26936 31709 41993 44564 47138 47992 63418 77987 83986 89128 94276 126836 155974 167972 188552 221963 253672 311948 335944 412217 443926 545909 623896 824434 887852 1091818 1553741 1648868 1775704 2183636 2885519 3107482 3297736 4367272 5771038 6214964 11542076 12429928 20198633 23084152 40397266 80794532 161589064