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11572020 = 22325531213
BaseRepresentation
bin101100001001…
…001100110100
3210202220211100
4230021030310
510430301040
61052010100
7200234445
oct54111464
923686740
1011572020
116594259
123a60930
132522265
1417732cc
151038b30
hexb09334

11572020 has 72 divisors (see below), whose sum is σ = 35793576. Its totient is φ = 3025152.

The previous prime is 11571983. The next prime is 11572037. The reversal of 11572020 is 2027511.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 11329956 = 492^2 + 3366^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11571984 and 11572002.

It is a congruent number.

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, 8934 + ... + 10146.

It is an arithmetic number, because the mean of its divisors is an integer number (497133).

Almost surely, 211572020 is an apocalyptic number.

11572020 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 11572020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896788).

11572020 is an abundant number, since it is smaller than the sum of its proper divisors (24221556).

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

11572020 is a wasteful number, since it uses less digits than its factorization.

11572020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 11572020 is about 3401.7671878011. The cubic root of 11572020 is about 226.1880857822.

Adding to 11572020 its reverse (2027511), we get a palindrome (13599531).

The spelling of 11572020 in words is "eleven million, five hundred seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1213 1590 1908 2385 2426 3180 3639 4770 4852 6065 7278 9540 10917 12130 14556 18195 21834 24260 36390 43668 54585 64289 72780 109170 128578 192867 218340 257156 321445 385734 578601 642890 771468 964335 1157202 1285780 1928670 2314404 2893005 3857340 5786010 11572020