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133620060 = 22357247967
BaseRepresentation
bin1111111011011…
…10000101011100
3100022102121021010
413331232011130
5233201320220
621131535220
73211515600
oct775560534
9308377233
10133620060
1169474802
12388ba510
13218b5432
1413a63500
15bae61e0
hex7f6e15c

133620060 has 144 divisors (see below), whose sum is σ = 444939264. Its totient is φ = 29860992.

The previous prime is 133620059. The next prime is 133620079. The reversal of 133620060 is 60026331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 137697 + ... + 138663.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 2133620060 is an apocalyptic number.

133620060 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 133620060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222469632).

133620060 is an abundant number, since it is smaller than the sum of its proper divisors (311319204).

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

133620060 is a wasteful number, since it uses less digits than its factorization.

133620060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 133620060 is about 11559.4143450263. The cubic root of 133620060 is about 511.2388949910.

Adding to 133620060 its reverse (60026331), we get a palindrome (193646391).

The spelling of 133620060 in words is "one hundred thirty-three million, six hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 188 196 210 235 245 282 294 329 420 470 490 564 588 658 705 735 940 967 980 987 1316 1410 1470 1645 1934 1974 2303 2820 2901 2940 3290 3868 3948 4606 4835 4935 5802 6580 6769 6909 9212 9670 9870 11515 11604 13538 13818 14505 19340 19740 20307 23030 27076 27636 29010 33845 34545 40614 45449 46060 47383 58020 67690 69090 81228 90898 94766 101535 135380 136347 138180 142149 181796 189532 203070 227245 236915 272694 284298 318143 406140 454490 473830 545388 568596 636286 681735 710745 908980 947660 954429 1272572 1363470 1421490 1590715 1908858 2227001 2726940 2842980 3181430 3817716 4454002 4772145 6362860 6681003 8908004 9544290 11135005 13362006 19088580 22270010 26724012 33405015 44540020 66810030 133620060