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134058800 = 2452461727
BaseRepresentation
bin1111111110110…
…01001100110000
3100100020220002202
413333121030300
5233304340200
621145202332
73215323661
oct777311460
9310226082
10134058800
11697443a7
1238a903a8
1321a0a045
1413b39368
15bb811d5
hex7fd9330

134058800 has 60 divisors (see below), whose sum is σ = 323218896. Its totient is φ = 53433600.

The previous prime is 134058791. The next prime is 134058817. The reversal of 134058800 is 8850431.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184037 + ... + 184763.

Almost surely, 2134058800 is an apocalyptic number.

134058800 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 134058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161609448).

134058800 is an abundant number, since it is smaller than the sum of its proper divisors (189160096).

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

134058800 is a wasteful number, since it uses less digits than its factorization.

134058800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 134058800 is about 11578.3763974056. The cubic root of 134058800 is about 511.7978327808.

The spelling of 134058800 in words is "one hundred thirty-four million, fifty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 461 727 922 1454 1844 2305 2908 3635 3688 4610 5816 7270 7376 9220 11525 11632 14540 18175 18440 23050 29080 36350 36880 46100 58160 72700 92200 145400 184400 290800 335147 670294 1340588 1675735 2681176 3351470 5362352 6702940 8378675 13405880 16757350 26811760 33514700 67029400 134058800