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133243680 = 2535893119
BaseRepresentation
bin1111111000100…
…10001100100000
3100021201110222010
413330102030200
5233102244210
621115512520
73205360353
oct774221440
9307643863
10133243680
1169237a49
1238758740
13217b301b
14139a629a
15ba6e920
hex7f12320

133243680 has 96 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 35121152.

The previous prime is 133243679. The next prime is 133243681. The reversal of 133243680 is 86342331.

It is an interprime number because it is at equal distance from previous prime (133243679) and next prime (133243681).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133243681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41161 + ... + 44279.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2133243680 is an apocalyptic number.

133243680 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 133243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

133243680 is an abundant number, since it is smaller than the sum of its proper divisors (291325920).

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

133243680 is a wasteful number, since it uses less digits than its factorization.

133243680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 133243680 is about 11543.1226277814. The cubic root of 133243680 is about 510.7584255971.

The spelling of 133243680 in words is "one hundred thirty-three million, two hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2848 3119 3560 4272 5340 6238 7120 8544 9357 10680 12476 14240 15595 18714 21360 24952 31190 37428 42720 46785 49904 62380 74856 93570 99808 124760 149712 187140 249520 277591 299424 374280 499040 555182 748560 832773 1110364 1387955 1497120 1665546 2220728 2775910 3331092 4163865 4441456 5551820 6662184 8327730 8882912 11103640 13324368 16655460 22207280 26648736 33310920 44414560 66621840 133243680