Search a number
-
+
133041120 = 2535277169
BaseRepresentation
bin1111110111000…
…00101111100000
3100021100012002220
413323200233200
5233024303440
621111311040
73203554662
oct773405740
9307305086
10133041120
1169109843
123867b480
1321741a74
1413952532
15ba2e8d0
hex7ee0be0

133041120 has 48 divisors (see below), whose sum is σ = 419081040. Its totient is φ = 35477504.

The previous prime is 133041109. The next prime is 133041127. The reversal of 133041120 is 21140331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1330411202 = 35399879221708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133041120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133041127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138105 + ... + 139064.

It is an arithmetic number, because the mean of its divisors is an integer number (8730855).

Almost surely, 2133041120 is an apocalyptic number.

133041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133041120 is an abundant number, since it is smaller than the sum of its proper divisors (286039920).

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

133041120 is a wasteful number, since it uses less digits than its factorization.

133041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277187 (or 277179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 133041120 is about 11534.3452349928. The cubic root of 133041120 is about 510.4994722318.

Adding to 133041120 its reverse (21140331), we get a palindrome (154181451).

The spelling of 133041120 in words is "one hundred thirty-three million, forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 277169 554338 831507 1108676 1385845 1663014 2217352 2771690 3326028 4157535 4434704 5543380 6652056 8315070 8869408 11086760 13304112 16630140 22173520 26608224 33260280 44347040 66520560 133041120