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172130660 = 225132937617
BaseRepresentation
bin10100100001010…
…00000101100100
3102222220010212122
422100220011210
5323031140120
625025205112
74160041442
oct1220500544
9388803778
10172130660
1189188349
1249790798
132987a080
1418c09b92
15101a1a25
hexa428164

172130660 has 96 divisors (see below), whose sum is σ = 414257760. Its totient is φ = 59609088.

The previous prime is 172130641. The next prime is 172130681. The reversal of 172130660 is 66031271.

It can be written as a sum of positive squares in 16 ways, for example, as 75933796 + 96196864 = 8714^2 + 9808^2 .

It is a super-2 number, since 2×1721306602 = 59257928224071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278672 + ... + 279288.

It is an arithmetic number, because the mean of its divisors is an integer number (4315185).

Almost surely, 2172130660 is an apocalyptic number.

172130660 is a gapful number since it is divisible by the number (10) 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 172130660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207128880).

172130660 is an abundant number, since it is smaller than the sum of its proper divisors (242127100).

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

172130660 is a wasteful number, since it uses less digits than its factorization.

172130660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 172130660 is about 13119.8574687380. The cubic root of 172130660 is about 556.2705625526.

The spelling of 172130660 in words is "one hundred seventy-two million, one hundred thirty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 29 37 52 58 65 74 116 130 145 148 185 260 290 370 377 481 580 617 740 754 962 1073 1234 1508 1885 1924 2146 2405 2468 3085 3770 4292 4810 5365 6170 7540 8021 9620 10730 12340 13949 16042 17893 21460 22829 27898 32084 35786 40105 45658 55796 69745 71572 80210 89465 91316 114145 139490 160420 178930 228290 232609 278980 296777 357860 456580 465218 593554 662041 930436 1163045 1187108 1324082 1483885 2326090 2648164 2967770 3310205 4652180 5935540 6620410 8606533 13240820 17213066 34426132 43032665 86065330 172130660