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134356600 = 23527195051
BaseRepresentation
bin10000000001000…
…01111001111000
3100100211000121101
420000201321320
5233343402400
621155421144
73221004130
oct1000417170
9310730541
10134356600
1169928114
1238bb47b4
1321ab2761
1413bb5ac0
15bbde56a
hex8021e78

134356600 has 96 divisors (see below), whose sum is σ = 375868800. Its totient is φ = 43632000.

The previous prime is 134356589. The next prime is 134356601. The reversal of 134356600 is 6653431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134356601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24075 + ... + 29125.

It is an arithmetic number, because the mean of its divisors is an integer number (3915300).

Almost surely, 2134356600 is an apocalyptic number.

134356600 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 134356600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187934400).

134356600 is an abundant number, since it is smaller than the sum of its proper divisors (241512200).

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

134356600 is a wasteful number, since it uses less digits than its factorization.

134356600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 134356600 is about 11591.2294429883. The cubic root of 134356600 is about 512.1765240118.

The spelling of 134356600 in words is "one hundred thirty-four million, three hundred fifty-six thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 5051 5320 6650 10102 13300 20204 25255 26600 35357 40408 50510 70714 95969 101020 126275 141428 176785 191938 202040 252550 282856 353570 383876 479845 505100 671783 707140 767752 883925 959690 1010200 1343566 1414280 1767850 1919380 2399225 2687132 3358915 3535700 3838760 4798450 5374264 6717830 7071400 9596900 13435660 16794575 19193800 26871320 33589150 67178300 134356600