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1052530120 = 235371634363
BaseRepresentation
bin111110101111000…
…101010111001000
32201100112001220001
4332233011113020
54123421430440
6252235212344
735040233635
oct7657052710
92640461801
101052530120
114a0142504
122545a70b4
1313a0a00b5
149db0318c
156260ab9a
hex3ebc55c8

1052530120 has 64 divisors (see below), whose sum is σ = 2447680320. Its totient is φ = 407026944.

The previous prime is 1052530103. The next prime is 1052530121. The reversal of 1052530120 is 210352501.

It is a super-2 number, since 2×10525301202 = 2215639307014428800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052530121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239059 + ... + 243421.

It is an arithmetic number, because the mean of its divisors is an integer number (38245005).

Almost surely, 21052530120 is an apocalyptic number.

1052530120 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 1052530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223840160).

1052530120 is an abundant number, since it is smaller than the sum of its proper divisors (1395150200).

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

1052530120 is a wasteful number, since it uses less digits than its factorization.

1052530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1052530120 is about 32442.7206010840. The cubic root of 1052530120 is about 1017.2120844229.

Adding to 1052530120 its reverse (210352501), we get a palindrome (1262882621).

The spelling of 1052530120 in words is "one billion, fifty-two million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 163 185 296 326 370 652 740 815 1304 1480 1630 3260 4363 6031 6520 8726 12062 17452 21815 24124 30155 34904 43630 48248 60310 87260 120620 161431 174520 241240 322862 645724 711169 807155 1291448 1422338 1614310 2844676 3228620 3555845 5689352 6457240 7111690 14223380 26313253 28446760 52626506 105253012 131566265 210506024 263132530 526265060 1052530120