Search a number
-
+
19861080 = 23351931281
BaseRepresentation
bin100101111000…
…0111001011000
31101101001021120
41023300321120
520041023310
61545405240
7330550011
oct113607130
941331246
1019861080
1110235a18
126799820
134165125
1428d0008
151b24b70
hex12f0e58

19861080 has 128 divisors (see below), whose sum is σ = 64972800. Its totient is φ = 4838400.

The previous prime is 19861069. The next prime is 19861103. The reversal of 19861080 is 8016891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70540 + ... + 70820.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 219861080 is an apocalyptic number.

19861080 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 19861080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32486400).

19861080 is an abundant number, since it is smaller than the sum of its proper divisors (45111720).

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

19861080 is a wasteful number, since it uses less digits than its factorization.

19861080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 19861080 is about 4456.5771619035. The cubic root of 19861080 is about 270.8118227229.

The spelling of 19861080 in words is "nineteen million, eight hundred sixty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 281 285 310 372 380 456 465 562 570 589 620 744 760 843 930 1124 1140 1178 1240 1405 1686 1767 1860 2248 2280 2356 2810 2945 3372 3534 3720 4215 4712 5339 5620 5890 6744 7068 8430 8711 8835 10678 11240 11780 14136 16017 16860 17422 17670 21356 23560 26133 26695 32034 33720 34844 35340 42712 43555 52266 53390 64068 69688 70680 80085 87110 104532 106780 128136 130665 160170 165509 174220 209064 213560 261330 320340 331018 348440 496527 522660 640680 662036 827545 993054 1045320 1324072 1655090 1986108 2482635 3310180 3972216 4965270 6620360 9930540 19861080