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133240120 = 23513892879
BaseRepresentation
bin1111111000100…
…01010100111000
3100021201022002021
413330101110320
5233102140440
621115444224
73205344106
oct774212470
9307638067
10133240120
1169235302
1238756674
13217b1510
14139a4c76
15ba6d84a
hex7f11538

133240120 has 64 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 48626688.

The previous prime is 133240099. The next prime is 133240157. The reversal of 133240120 is 21042331.

It is a happy number.

It is a super-2 number, since 2×1332401202 = 35505859155228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133240094 and 133240103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44841 + ... + 47719.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2133240120 is an apocalyptic number.

133240120 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 133240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

133240120 is an abundant number, since it is smaller than the sum of its proper divisors (193351880).

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

133240120 is a wasteful number, since it uses less digits than its factorization.

133240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 133240120 is about 11542.9684223773. The cubic root of 133240120 is about 510.7538767479.

Adding to 133240120 its reverse (21042331), we get a palindrome (154282451).

The spelling of 133240120 in words is "one hundred thirty-three million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 890 1157 1780 2314 2879 3560 4628 5758 5785 9256 11516 11570 14395 23032 23140 28790 37427 46280 57580 74854 115160 149708 187135 256231 299416 374270 512462 748540 1024924 1281155 1497080 2049848 2562310 3331003 5124620 6662006 10249240 13324012 16655015 26648024 33310030 66620060 133240120