Search a number
-
+
2100645252 = 223437175229
BaseRepresentation
bin111110100110101…
…0100110110000100
312102101201211120000
41331031110312010
513300231122002
6544240041300
7103025122116
oct17515246604
95371654500
102100645252
11988839962
124a7603230
13276285774
1415cdb73b6
15c464361c
hex7d354d84

2100645252 has 60 divisors (see below), whose sum is σ = 5639952780. Its totient is φ = 681286464.

The previous prime is 2100645251. The next prime is 2100645259. The reversal of 2100645252 is 2525460012.

2100645252 is a `hidden beast` number, since 2 + 10 + 0 + 645 + 2 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1358954496 + 741690756 = 36864^2 + 27234^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2100645251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75627 + ... + 99602.

It is an arithmetic number, because the mean of its divisors is an integer number (93999213).

Almost surely, 22100645252 is an apocalyptic number.

It is an amenable number.

2100645252 is an abundant number, since it is smaller than the sum of its proper divisors (3539307528).

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

2100645252 is a wasteful number, since it uses less digits than its factorization.

2100645252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175282 (or 175271 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2100645252 is about 45832.7966853431. The cubic root of 2100645252 is about 1280.7103096941.

The spelling of 2100645252 in words is "two billion, one hundred million, six hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 175229 350458 525687 700916 1051374 1577061 2102748 3154122 4731183 6308244 6483473 9462366 12966946 14193549 18924732 19450419 25933892 28387098 38900838 56774196 58351257 77801676 116702514 175053771 233405028 350107542 525161313 700215084 1050322626 2100645252