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59200134 = 2372613301
BaseRepresentation
bin1110000111010…
…1001010000110
311010101200022120
43201311022012
5110123401014
65512510410
71316123100
oct341651206
9133350276
1059200134
1130464a34
12179ab406
13c359b86
147c10570
1552e5ba9
hex3875286

59200134 has 48 divisors (see below), whose sum is σ = 140031216. Its totient is φ = 16632000.

The previous prime is 59200129. The next prime is 59200139. The reversal of 59200134 is 43100295.

It is an interprime number because it is at equal distance from previous prime (59200129) and next prime (59200139).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59200139) 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, 16284 + ... + 19584.

It is an arithmetic number, because the mean of its divisors is an integer number (2917317).

Almost surely, 259200134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59200134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70015608).

59200134 is an abundant number, since it is smaller than the sum of its proper divisors (80831082).

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

59200134 is a wasteful number, since it uses less digits than its factorization.

59200134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 59200134 is about 7694.1623325740. The cubic root of 59200134 is about 389.7393261346.

The spelling of 59200134 in words is "fifty-nine million, two hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 854 1281 2562 2989 3301 5978 6602 8967 9903 17934 19806 23107 46214 69321 138642 161749 201361 323498 402722 485247 604083 970494 1208166 1409527 2819054 4228581 8457162 9866689 19733378 29600067 59200134