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133410120 = 23352348337
BaseRepresentation
bin1111111001110…
…10110101001000
3100022000221021120
413330322311020
5233123110440
621123235240
73206652534
oct774726510
9308027246
10133410120
1169340aa8
1238818b20
13218409cc
1413a0abc4
15baa3dd0
hex7f3ad48

133410120 has 64 divisors (see below), whose sum is σ = 417640320. Its totient is φ = 34028544.

The previous prime is 133410107. The next prime is 133410127. The reversal of 133410120 is 21014331.

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 133410120.

It is not an unprimeable number, because it can be changed into a prime (133410127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21409 + ... + 26928.

It is an arithmetic number, because the mean of its divisors is an integer number (6525630).

Almost surely, 2133410120 is an apocalyptic number.

133410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133410120 is an abundant number, since it is smaller than the sum of its proper divisors (284230200).

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

133410120 is a wasteful number, since it uses less digits than its factorization.

133410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48374 (or 48370 counting only the distinct ones).

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

The square root of 133410120 is about 11550.3298654194. The cubic root of 133410120 is about 510.9710066870.

Adding to 133410120 its reverse (21014331), we get a palindrome (154424451).

The spelling of 133410120 in words is "one hundred thirty-three million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 48337 96674 145011 193348 241685 290022 386696 483370 580044 725055 966740 1111751 1160088 1450110 1933480 2223502 2900220 3335253 4447004 5558755 5800440 6670506 8894008 11117510 13341012 16676265 22235020 26682024 33352530 44470040 66705060 133410120