Search a number
-
+
64628160 = 2635232927
BaseRepresentation
bin1111011010001…
…0010111000000
311111121110011120
43312202113000
5113021100120
610225112240
71413221202
oct366422700
9144543146
1064628160
1133532103
1219788680
131050a71c
148824772
155a19140
hex3da25c0

64628160 has 112 divisors (see below), whose sum is σ = 214189056. Its totient is φ = 16479232.

The previous prime is 64628143. The next prime is 64628167. The reversal of 64628160 is 6182646.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64628167) 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, 20617 + ... + 23543.

Almost surely, 264628160 is an apocalyptic number.

64628160 is a gapful number since it is divisible by the number (60) 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 64628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107094528).

64628160 is an abundant number, since it is smaller than the sum of its proper divisors (149560896).

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

64628160 is a wasteful number, since it uses less digits than its factorization.

64628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 64628160 is about 8039.1641356549. The cubic root of 64628160 is about 401.3044083401.

The spelling of 64628160 in words is "sixty-four million, six hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 2927 3680 4416 5520 5854 7360 8781 11040 11708 14635 17562 22080 23416 29270 35124 43905 46832 58540 67321 70248 87810 93664 117080 134642 140496 175620 187328 201963 234160 269284 280992 336605 351240 403926 468320 538568 561984 673210 702480 807852 936640 1009815 1077136 1346420 1404960 1615704 2019630 2154272 2692840 2809920 3231408 4039260 4308544 5385680 6462816 8078520 10771360 12925632 16157040 21542720 32314080 64628160