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161706072 = 233113671669
BaseRepresentation
bin10011010001101…
…11000001011000
3102021021112000210
421220313001120
5312344043242
624013531120
74002323163
oct1150670130
9367245023
10161706072
1183308190
12461a3aa0
132766a188
1417694ada
15e2e2d9c
hex9a37058

161706072 has 64 divisors (see below), whose sum is σ = 442483200. Its totient is φ = 48839040.

The previous prime is 161706053. The next prime is 161706073. The reversal of 161706072 is 270607161.

It is a happy number.

It is a super-2 number, since 2×1617060722 = 52297707443338368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161706073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96054 + ... + 97722.

It is an arithmetic number, because the mean of its divisors is an integer number (6913800).

Almost surely, 2161706072 is an apocalyptic number.

161706072 is a gapful number since it is divisible by the number (12) 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 161706072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221241600).

161706072 is an abundant number, since it is smaller than the sum of its proper divisors (280777128).

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

161706072 is a wasteful number, since it uses less digits than its factorization.

161706072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 161706072 is about 12716.3702368247. The cubic root of 161706072 is about 544.8062852771.

The spelling of 161706072 in words is "one hundred sixty-one million, seven hundred six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 367 734 1101 1468 1669 2202 2936 3338 4037 4404 5007 6676 8074 8808 10014 12111 13352 16148 18359 20028 24222 32296 36718 40056 48444 55077 73436 96888 110154 146872 220308 440616 612523 1225046 1837569 2450092 3675138 4900184 6737753 7350276 13475506 14700552 20213259 26951012 40426518 53902024 80853036 161706072