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1640115312 = 243112282389
BaseRepresentation
bin110000111000010…
…0010110001110000
311020022011111020120
41201300202301300
511324332142222
6430425210240
755433515203
oct14160426160
94208144216
101640115312
11771890a00
12399330980
13201a3cc44
14117b7793a
1598ec515c
hex61c22c70

1640115312 has 60 divisors (see below), whose sum is σ = 4657175880. Its totient is φ = 497002880.

The previous prime is 1640115227. The next prime is 1640115313. The reversal of 1640115312 is 2135110461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640115313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135387 + ... + 147002.

It is an arithmetic number, because the mean of its divisors is an integer number (77619598).

Almost surely, 21640115312 is an apocalyptic number.

1640115312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1640115312 is an abundant number, since it is smaller than the sum of its proper divisors (3017060568).

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

1640115312 is a wasteful number, since it uses less digits than its factorization.

1640115312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282422 (or 282405 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1640115312 is about 40498.3371510486. The cubic root of 1640115312 is about 1179.3013464540.

Adding to 1640115312 its reverse (2135110461), we get a palindrome (3775225773).

It can be divided in two parts, 16401 and 15312, that added together give a palindrome (31713).

The spelling of 1640115312 in words is "one billion, six hundred forty million, one hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 282389 564778 847167 1129556 1694334 2259112 3106279 3388668 4518224 6212558 6777336 9318837 12425116 13554672 18637674 24850232 34169069 37275348 49700464 68338138 74550696 102507207 136676276 149101392 205014414 273352552 410028828 546705104 820057656 1640115312