Search a number
-
+
59057240 = 23511791699
BaseRepresentation
bin1110000101001…
…0010001011000
311010010102022012
43201102101120
5110104312430
65505445052
71314656354
oct341222130
9133112265
1059057240
1130377640
1217940788
13c309b18
147bb4464
1552b8695
hex3852458

59057240 has 64 divisors (see below), whose sum is σ = 146880000. Its totient is φ = 21191040.

The previous prime is 59057237. The next prime is 59057249. The reversal of 59057240 is 4275095.

It is a junction number, because it is equal to n+sod(n) for n = 59057197 and 59057206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59057249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33911 + ... + 35609.

It is an arithmetic number, because the mean of its divisors is an integer number (2295000).

Almost surely, 259057240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59057240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440000).

59057240 is an abundant number, since it is smaller than the sum of its proper divisors (87822760).

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

59057240 is a wasteful number, since it uses less digits than its factorization.

59057240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 59057240 is about 7684.8708512245. The cubic root of 59057240 is about 389.4254964410.

The spelling of 59057240 in words is "fifty-nine million, fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1699 1738 3160 3398 3476 4345 6796 6952 8495 8690 13592 16990 17380 18689 33980 34760 37378 67960 74756 93445 134221 149512 186890 268442 373780 536884 671105 747560 1073768 1342210 1476431 2684420 2952862 5368840 5905724 7382155 11811448 14764310 29528620 59057240