Search a number
-
+
1354552164 = 2232753101419
BaseRepresentation
bin101000010111100…
…1101001101100100
310111101211101020200
41100233031031210
510233231132124
6342224430500
745365334450
oct12057151544
93441741220
101354552164
116356780a9
12319778430
13187828374
14cbc81660
157ddb8bc9
hex50bcd364

1354552164 has 72 divisors (see below), whose sum is σ = 3987023040. Its totient is φ = 379708992.

The previous prime is 1354552139. The next prime is 1354552169. The reversal of 1354552164 is 4612554531.

1354552164 is a `hidden beast` number, since 1 + 3 + 545 + 52 + 1 + 64 = 666.

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 not an unprimeable number, because it can be changed into a prime (1354552169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37354 + ... + 64065.

It is an arithmetic number, because the mean of its divisors is an integer number (55375320).

Almost surely, 21354552164 is an apocalyptic number.

1354552164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1354552164 is an abundant number, since it is smaller than the sum of its proper divisors (2632470876).

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

1354552164 is a wasteful number, since it uses less digits than its factorization.

1354552164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101489 (or 101484 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 1354552164 is about 36804.2411143064. The cubic root of 1354552164 is about 1106.4503015262.

The spelling of 1354552164 in words is "one billion, three hundred fifty-four million, five hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 13356 101419 202838 304257 405676 608514 709933 912771 1217028 1419866 1825542 2129799 2839732 3651084 4259598 5375207 6389397 8519196 10750414 12778794 16125621 21500828 25557588 32251242 37626449 48376863 64502484 75252898 96753726 112879347 150505796 193507452 225758694 338638041 451517388 677276082 1354552164