Search a number
-
+
1053305676 = 223253552047
BaseRepresentation
bin111110110010000…
…010101101001100
32201101222110202100
4332302002231030
54124121240201
6252303555100
735046644013
oct7662025514
92641873670
101053305676
114a0622165
122548bba90
1313a2b20c7
149dc65a7a
1562710886
hex3ec82b4c

1053305676 has 36 divisors (see below), whose sum is σ = 2712763872. Its totient is φ = 344476704.

The previous prime is 1053305663. The next prime is 1053305689. The reversal of 1053305676 is 6765033501.

It is a happy number.

1053305676 is a `hidden beast` number, since 1 + 0 + 533 + 0 + 56 + 76 = 666.

1053305676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1053305663) and next prime (1053305689).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10533056762 = 2218905694187633952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1053305676.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274116 + ... + 277931.

It is an arithmetic number, because the mean of its divisors is an integer number (75354552).

Almost surely, 21053305676 is an apocalyptic number.

It is an amenable number.

1053305676 is an abundant number, since it is smaller than the sum of its proper divisors (1659458196).

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

1053305676 is a wasteful number, since it uses less digits than its factorization.

1053305676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552110 (or 552105 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 1053305676 is about 32454.6710967774. The cubic root of 1053305676 is about 1017.4618670599.

The spelling of 1053305676 in words is "one billion, fifty-three million, three hundred five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 552047 1104094 1656141 2208188 3312282 4968423 6624564 9936846 19873692 29258491 58516982 87775473 117033964 175550946 263326419 351101892 526652838 1053305676