Search a number
-
+
3059059140 = 2232559714057
BaseRepresentation
bin1011011001010101…
…1000100111000100
321220012011022020200
42312111120213010
522231104343030
61223314130500
7135543400524
oct26625304704
97805138220
103059059140
11132a839455
12714580a30
133999c2187
142103bb684
1512d85cd60
hexb65589c4

3059059140 has 144 divisors (see below), whose sum is σ = 9571685760. Its totient is φ = 790433280.

The previous prime is 3059059079. The next prime is 3059059153. The reversal of 3059059140 is 419509503.

3059059140 is a `hidden beast` number, since 3 + 0 + 590 + 59 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3059059095 and 3059059104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751992 + ... + 756048.

It is an arithmetic number, because the mean of its divisors is an integer number (66470040).

Almost surely, 23059059140 is an apocalyptic number.

3059059140 is a gapful number since it is divisible by the number (30) 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 3059059140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785842880).

3059059140 is an abundant number, since it is smaller than the sum of its proper divisors (6512626620).

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

3059059140 is a wasteful number, since it uses less digits than its factorization.

3059059140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 3059059140 is about 55308.7618736851. The cubic root of 3059059140 is about 1451.6523596855.

The spelling of 3059059140 in words is "three billion, fifty-nine million, fifty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 71 90 118 142 177 180 213 236 284 295 354 355 426 531 590 639 708 710 852 885 1062 1065 1180 1278 1420 1770 2124 2130 2556 2655 3195 3540 4057 4189 4260 5310 6390 8114 8378 10620 12171 12567 12780 16228 16756 20285 20945 24342 25134 36513 37701 40570 41890 48684 50268 60855 62835 73026 75402 81140 83780 121710 125670 146052 150804 182565 188505 239363 243420 251340 288047 365130 377010 478726 576094 718089 730260 754020 864141 957452 1152188 1196815 1436178 1440235 1728282 2154267 2393630 2592423 2872356 2880470 3456564 3590445 4308534 4320705 4787260 5184846 5760940 7180890 8617068 8641410 10369692 10771335 12962115 14361780 16994773 17282820 21542670 25924230 33989546 43085340 50984319 51848460 67979092 84973865 101968638 152952957 169947730 203937276 254921595 305905914 339895460 509843190 611811828 764764785 1019686380 1529529570 3059059140