Search a number
-
+
1640268252 = 2233719114193
BaseRepresentation
bin110000111000100…
…1000000111011100
311020022110021001000
41201301020013130
511324402041002
6430432350300
755435023120
oct14161100734
94208407030
101640268252
117719858a7
123993a5390
13201a9473c
14117bb7580
159900561c
hex61c481dc

1640268252 has 96 divisors (see below), whose sum is σ = 5115891200. Its totient is φ = 443978496.

The previous prime is 1640268251. The next prime is 1640268277. The reversal of 1640268252 is 2528620461.

It is a happy number.

1640268252 is a `hidden beast` number, since 1 + 640 + 2 + 6 + 8 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640268251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42733 + ... + 71460.

Almost surely, 21640268252 is an apocalyptic number.

1640268252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1640268252 is an abundant number, since it is smaller than the sum of its proper divisors (3475622948).

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

1640268252 is a wasteful number, since it uses less digits than its factorization.

1640268252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114232 (or 114224 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1640268252 is about 40500.2253327065. The cubic root of 1640268252 is about 1179.3380017511.

The spelling of 1640268252 in words is "one billion, six hundred forty million, two hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 114193 228386 342579 456772 685158 799351 1027737 1370316 1598702 2055474 2169667 2398053 3083211 3197404 4110948 4339334 4796106 6166422 6509001 7194159 8678668 9592212 12332844 13018002 14388318 15187669 19527003 21582477 26036004 28776636 30375338 39054006 43164954 45563007 58581009 60750676 78108012 86329908 91126014 117162018 136689021 182252028 234324036 273378042 410067063 546756084 820134126 1640268252