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134696560 = 24513912113
BaseRepresentation
bin10000000011101…
…00111001110000
3100101110021221111
420001310321300
5233440242220
621211003104
73223621225
oct1001647160
9311407844
10134696560
116a03a579
1239139494
1321ba140b
1413c6394c
15bc5a15a
hex8074e70

134696560 has 40 divisors (see below), whose sum is σ = 315448560. Its totient is φ = 53486592.

The previous prime is 134696543. The next prime is 134696591. The reversal of 134696560 is 65696431.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5064 + ... + 17176.

It is an arithmetic number, because the mean of its divisors is an integer number (7886214).

Almost surely, 2134696560 is an apocalyptic number.

134696560 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 134696560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157724280).

134696560 is an abundant number, since it is smaller than the sum of its proper divisors (180752000).

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

134696560 is a wasteful number, since it uses less digits than its factorization.

134696560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12265 (or 12259 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 134696560 is about 11605.8847142301. The cubic root of 134696560 is about 512.6081437463.

The spelling of 134696560 in words is "one hundred thirty-four million, six hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 12113 24226 48452 60565 96904 121130 193808 242260 484520 969040 1683707 3367414 6734828 8418535 13469656 16837070 26939312 33674140 67348280 134696560