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133003420 = 225111947677
BaseRepresentation
bin1111110110101…
…11100010011100
3100021021021101121
413323113202130
5233022102140
621110420324
73203340034
oct773274234
9307237347
10133003420
1169093490
12386616a4
132172a864
14139428c4
15ba2364a
hex7ed789c

133003420 has 96 divisors (see below), whose sum is σ = 328043520. Its totient is φ = 44778240.

The previous prime is 133003399. The next prime is 133003421. The reversal of 133003420 is 24300331.

It is a junction number, because it is equal to n+sod(n) for n = 133003394 and 133003403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133003421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196122 + ... + 196798.

It is an arithmetic number, because the mean of its divisors is an integer number (3417120).

Almost surely, 2133003420 is an apocalyptic number.

133003420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164021760).

133003420 is an abundant number, since it is smaller than the sum of its proper divisors (195040100).

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

133003420 is a wasteful number, since it uses less digits than its factorization.

133003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 133003420 is about 11532.7108695224. The cubic root of 133003420 is about 510.4512474215.

Adding to 133003420 its reverse (24300331), we get a palindrome (157303751).

The spelling of 133003420 in words is "one hundred thirty-three million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 47 55 76 94 95 110 188 190 209 220 235 380 418 470 517 677 836 893 940 1034 1045 1354 1786 2068 2090 2585 2708 3385 3572 4180 4465 5170 6770 7447 8930 9823 10340 12863 13540 14894 17860 19646 25726 29788 31819 37235 39292 49115 51452 63638 64315 74470 98230 127276 128630 141493 148940 159095 196460 257260 282986 318190 350009 565972 604561 636380 700018 707465 1209122 1400036 1414930 1750045 2418244 2829860 3022805 3500090 6045610 6650171 7000180 12091220 13300342 26600684 33250855 66501710 133003420