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133463940 = 223517235689
BaseRepresentation
bin1111111010001…
…11111110000100
3100022010200002220
413331013332010
5233131321230
621124332340
73210265461
oct775077604
9308120086
10133463940
1169378485
12388440b0
132185c35c
1413a22668
15bab4d10
hex7f47f84

133463940 has 96 divisors (see below), whose sum is σ = 412957440. Its totient is φ = 32034816.

The previous prime is 133463909. The next prime is 133463947. The reversal of 133463940 is 49364331.

It is not an unprimeable number, because it can be changed into a prime (133463947) 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, 20616 + ... + 26304.

It is an arithmetic number, because the mean of its divisors is an integer number (4301640).

Almost surely, 2133463940 is an apocalyptic number.

133463940 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 133463940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206478720).

133463940 is an abundant number, since it is smaller than the sum of its proper divisors (279493500).

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

133463940 is a wasteful number, since it uses less digits than its factorization.

133463940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 133463940 is about 11552.6594340870. The cubic root of 133463940 is about 511.0397090272.

The spelling of 133463940 in words is "one hundred thirty-three million, four hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 690 782 1020 1173 1380 1564 1955 2346 3910 4692 5689 5865 7820 11378 11730 17067 22756 23460 28445 34134 56890 68268 85335 96713 113780 130847 170670 193426 261694 290139 341340 386852 392541 483565 523388 580278 654235 785082 967130 1160556 1308470 1450695 1570164 1934260 1962705 2224399 2616940 2901390 3925410 4448798 5802780 6673197 7850820 8897596 11121995 13346394 22243990 26692788 33365985 44487980 66731970 133463940