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133694320 = 2453123747
BaseRepresentation
bin1111111100000…
…00001101110000
3100022120101010111
413332000031300
5233211204240
621133311104
73212245234
oct776001560
9308511114
10133694320
1169515581
1238935494
1321910186
1413a825c4
15bb0d1ea
hex7f80370

133694320 has 120 divisors (see below), whose sum is σ = 336889152. Its totient is φ = 49282560.

The previous prime is 133694293. The next prime is 133694347. The reversal of 133694320 is 23496331.

It is an interprime number because it is at equal distance from previous prime (133694293) and next prime (133694347).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2844537 + ... + 2844583.

Almost surely, 2133694320 is an apocalyptic number.

133694320 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 133694320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168444576).

133694320 is an abundant number, since it is smaller than the sum of its proper divisors (203194832).

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

133694320 is a wasteful number, since it uses less digits than its factorization.

133694320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 133694320 is about 11562.6259993135. The cubic root of 133694320 is about 511.3335852880. Note that the first 3 decimals are identical.

It can be divided in two parts, 13369 and 4320, that added together give a square (17689 = 1332).

The spelling of 133694320 in words is "one hundred thirty-three million, six hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 47 62 74 80 94 124 148 155 185 188 235 248 296 310 370 376 470 496 592 620 740 752 940 961 1147 1240 1457 1480 1739 1880 1922 2294 2480 2914 2960 3478 3760 3844 4588 4805 5735 5828 6956 7285 7688 8695 9176 9610 11470 11656 13912 14570 15376 17390 18352 19220 22940 23312 27824 29140 34780 35557 38440 45167 45880 53909 58280 69560 71114 76880 90334 91760 107818 116560 139120 142228 177785 180668 215636 225835 269545 284456 355570 361336 431272 451670 539090 568912 711140 722672 862544 903340 1078180 1422280 1671179 1806680 2156360 2844560 3342358 3613360 4312720 6684716 8355895 13369432 16711790 26738864 33423580 66847160 133694320