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134223760 = 245111271201
BaseRepresentation
bin10000000000000…
…01011110010000
3100100120021101101
420000001132100
5233330130020
621152514144
73216611626
oct1000013620
9310507341
10134223760
1169847330
1238b4b954
1321a67158
1413b7d516
15bbb500a
hex8001790

134223760 has 80 divisors (see below), whose sum is σ = 343406592. Its totient is φ = 48384000.

The previous prime is 134223751. The next prime is 134223763. The reversal of 134223760 is 67322431.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (134223763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111160 + ... + 112360.

Almost surely, 2134223760 is an apocalyptic number.

134223760 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 134223760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171703296).

134223760 is an abundant number, since it is smaller than the sum of its proper divisors (209182832).

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

134223760 is a wasteful number, since it uses less digits than its factorization.

134223760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 134223760 is about 11585.4978313407. The cubic root of 134223760 is about 512.0076699697.

The spelling of 134223760 in words is "one hundred thirty-four million, two hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1201 1270 1397 2032 2402 2540 2794 4804 5080 5588 6005 6985 9608 10160 11176 12010 13211 13970 19216 22352 24020 26422 27940 48040 52844 55880 66055 96080 105688 111760 132110 152527 211376 264220 305054 528440 610108 762635 1056880 1220216 1525270 1677797 2440432 3050540 3355594 6101080 6711188 8388985 12202160 13422376 16777970 26844752 33555940 67111880 134223760