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1052420200 = 2352132317599
BaseRepresentation
bin111110101110101…
…010100001101000
32201100022111002221
4332232222201220
54123404421300
6252233003424
735036265316
oct7656524150
92640274087
101052420200
114a0077967
12254553574
1313a062060
149dab50b6
15625d831a
hex3ebaa868

1052420200 has 96 divisors (see below), whose sum is σ = 2749824000. Its totient is φ = 371669760.

The previous prime is 1052420197. The next prime is 1052420219. The reversal of 1052420200 is 20242501.

It is a super-2 number, since 2×10524202002 = 2215176554736080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51001 + ... + 68599.

It is an arithmetic number, because the mean of its divisors is an integer number (28644000).

Almost surely, 21052420200 is an apocalyptic number.

1052420200 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 1052420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912000).

1052420200 is an abundant number, since it is smaller than the sum of its proper divisors (1697403800).

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

1052420200 is a wasteful number, since it uses less digits than its factorization.

1052420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17651 (or 17642 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1052420200 is about 32441.0264942403. The cubic root of 1052420200 is about 1017.1766726588.

Adding to 1052420200 its reverse (20242501), we get a palindrome (1072662701).

The spelling of 1052420200 in words is "one billion, fifty-two million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 184 200 230 260 299 325 460 520 575 598 650 920 1150 1196 1300 1495 2300 2392 2600 2990 4600 5980 7475 11960 14950 17599 29900 35198 59800 70396 87995 140792 175990 228787 351980 404777 439975 457574 703960 809554 879950 915148 1143935 1619108 1759900 1830296 2023885 2287870 3238216 3519800 4047770 4575740 5262101 5719675 8095540 9151480 10119425 10524202 11439350 16191080 20238850 21048404 22878700 26310505 40477700 42096808 45757400 52621010 80955400 105242020 131552525 210484040 263105050 526210100 1052420200