[go: up one dir, main page]

Search a number
-
+
166060032 = 213329233
BaseRepresentation
bin10011110010111…
…10000000000000
3102120110201112120
421321132000000
5320002410112
624251124240
74054326015
oct1171360000
9376421476
10166060032
11858113a6
1247743680
1328532b98
14180a970c
15e8a2e8c
hex9e5e000

166060032 has 112 divisors (see below), whose sum is σ = 460034640. Its totient is φ = 53215232.

The previous prime is 166060031. The next prime is 166060049. The reversal of 166060032 is 230060661.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 166059984 and 166060011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166060031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712588 + ... + 712820.

Almost surely, 2166060032 is an apocalyptic number.

166060032 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 166060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230017320).

166060032 is an abundant number, since it is smaller than the sum of its proper divisors (293974608).

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

166060032 is an equidigital number, since it uses as much as digits as its factorization.

166060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 166060032 is about 12886.4282095544. The cubic root of 166060032 is about 549.6527085765.

The spelling of 166060032 in words is "one hundred sixty-six million, sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 233 256 348 384 464 466 512 696 699 768 928 932 1024 1392 1398 1536 1856 1864 2048 2784 2796 3072 3712 3728 4096 5568 5592 6144 6757 7424 7456 8192 11136 11184 12288 13514 14848 14912 20271 22272 22368 24576 27028 29696 29824 40542 44544 44736 54056 59392 59648 81084 89088 89472 108112 118784 119296 162168 178176 178944 216224 237568 238592 324336 356352 357888 432448 477184 648672 712704 715776 864896 954368 1297344 1431552 1729792 1908736 2594688 2863104 3459584 5189376 5726208 6919168 10378752 13838336 20757504 27676672 41515008 55353344 83030016 166060032