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1052170032 = 24379293947
BaseRepresentation
bin111110101101101…
…101011100110000
32201022211202221110
4332231231130300
54123323420112
6252223353320
735034204054
oct7655553460
92638752843
101052170032
1149aa16a11
12254452840
13139ca5224
149da4bc64
156258913c
hex3eb6d730

1052170032 has 80 divisors (see below), whose sum is σ = 2764823040. Its totient is φ = 344737536.

The previous prime is 1052169997. The next prime is 1052170043. The reversal of 1052170032 is 2300712501.

It is a super-2 number, since 2×10521700322 = 2214123552477762048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052169990 and 1052170008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110583 + ... + 1111529.

It is an arithmetic number, because the mean of its divisors is an integer number (34560288).

Almost surely, 21052170032 is an apocalyptic number.

1052170032 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 1052170032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382411520).

1052170032 is an abundant number, since it is smaller than the sum of its proper divisors (1712653008).

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

1052170032 is a wasteful number, since it uses less digits than its factorization.

1052170032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1052170032 is about 32437.1705301187. The cubic root of 1052170032 is about 1017.0960694868.

Adding to 1052170032 its reverse (2300712501), we get a palindrome (3352882533).

The spelling of 1052170032 in words is "one billion, fifty-two million, one hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 293 316 474 586 632 879 947 948 1172 1264 1758 1894 1896 2344 2841 3516 3788 3792 4688 5682 7032 7576 11364 14064 15152 22728 23147 45456 46294 69441 74813 92588 138882 149626 185176 224439 277471 277764 299252 370352 448878 554942 555528 598504 832413 897756 1109884 1111056 1197008 1664826 1795512 2219768 3329652 3591024 4439536 6659304 13318608 21920209 43840418 65760627 87680836 131521254 175361672 263042508 350723344 526085016 1052170032