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2053206072 = 2332375471409
BaseRepresentation
bin111101001100001…
…0111000000111000
312022002110200020100
41322120113000320
513201110043242
6535423155400
7101610651351
oct17230270070
95262420210
102053206072
11963a88125
12493745b60
132694b5b48
14156988d28
15c03c254c
hex7a617038

2053206072 has 96 divisors (see below), whose sum is σ = 5725558800. Its totient is φ = 664215552.

The previous prime is 2053206053. The next prime is 2053206091. The reversal of 2053206072 is 2706023502.

2053206072 is a `hidden beast` number, since 2 + 0 + 53 + 2 + 0 + 607 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2053206053) and next prime (2053206091).

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, 1456504 + ... + 1457912.

Almost surely, 22053206072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053206072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862779400).

2053206072 is an abundant number, since it is smaller than the sum of its proper divisors (3672352728).

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

2053206072 is a wasteful number, since it uses less digits than its factorization.

2053206072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2053206072 is about 45312.3170010098. The cubic root of 2053206072 is about 1270.9959889051.

Adding to 2053206072 its reverse (2706023502), we get a palindrome (4759229574).

The spelling of 2053206072 in words is "two billion, fifty-three million, two hundred six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 547 666 888 1094 1332 1409 1641 2188 2664 2818 3282 4227 4376 4923 5636 6564 8454 9846 11272 12681 13128 16908 19692 20239 25362 33816 39384 40478 50724 52133 60717 80956 101448 104266 121434 156399 161912 182151 208532 242868 312798 364302 417064 469197 485736 625596 728604 770723 938394 1251192 1457208 1541446 1876788 2312169 3082892 3753576 4624338 6165784 6936507 9248676 13873014 18497352 27746028 28516751 55492056 57033502 85550253 114067004 171100506 228134008 256650759 342201012 513301518 684402024 1026603036 2053206072