Search a number
-
+
57235320 = 23325173919
BaseRepresentation
bin1101101001010…
…1011101111000
310222200212002200
43122111131320
5104123012240
65402430200
71263330552
oct332253570
9128625080
1057235320
112a34281a
1217202360
13bb1c76c
14785c4d2
155058930
hex3695778

57235320 has 96 divisors (see below), whose sum is σ = 187293600. Its totient is φ = 15158016.

The previous prime is 57235319. The next prime is 57235351. The reversal of 57235320 is 2353275.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61821 + ... + 62739.

It is an arithmetic number, because the mean of its divisors is an integer number (1950975).

Almost surely, 257235320 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 57235320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93646800).

57235320 is an abundant number, since it is smaller than the sum of its proper divisors (130058280).

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

57235320 is a wasteful number, since it uses less digits than its factorization.

57235320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 57235320 is about 7565.4028313104. The cubic root of 57235320 is about 385.3789937498.

Adding to 57235320 its reverse (2353275), we get a palindrome (59588595).

The spelling of 57235320 in words is "fifty-seven million, two hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 173 180 346 360 519 692 865 919 1038 1384 1557 1730 1838 2076 2595 2757 3114 3460 3676 4152 4595 5190 5514 6228 6920 7352 7785 8271 9190 10380 11028 12456 13785 15570 16542 18380 20760 22056 27570 31140 33084 36760 41355 55140 62280 66168 82710 110280 158987 165420 317974 330840 476961 635948 794935 953922 1271896 1430883 1589870 1907844 2384805 2861766 3179740 3815688 4769610 5723532 6359480 7154415 9539220 11447064 14308830 19078440 28617660 57235320