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172070144 = 282412789
BaseRepresentation
bin10100100000110…
…01010100000000
3102222210001212022
422100121110000
5323022221034
625024021012
74156400141
oct1220312400
9388701768
10172070144
1189146934
1249761768
132985866c
1418bd1ac8
151018db2e
hexa419500

172070144 has 36 divisors (see below), whose sum is σ = 345016980. Its totient is φ = 85647360.

The previous prime is 172070131. The next prime is 172070147. The reversal of 172070144 is 441070271.

It can be written as a sum of positive squares in 2 ways, for example, as 119071744 + 52998400 = 10912^2 + 7280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172070147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60302 + ... + 63090.

It is an arithmetic number, because the mean of its divisors is an integer number (9583805).

Almost surely, 2172070144 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 172070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172508490).

172070144 is an abundant number, since it is smaller than the sum of its proper divisors (172946836).

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

172070144 is an equidigital number, since it uses as much as digits as its factorization.

172070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 172070144 is about 13117.5509909434. The cubic root of 172070144 is about 556.2053655386.

The spelling of 172070144 in words is "one hundred seventy-two million, seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 241 256 482 964 1928 2789 3856 5578 7712 11156 15424 22312 30848 44624 61696 89248 178496 356992 672149 713984 1344298 2688596 5377192 10754384 21508768 43017536 86035072 172070144