Search a number
-
+
2104574160 = 2435131739679
BaseRepresentation
bin111110101110001…
…0100000011010000
312102200010110000010
41331130110003100
513302232333120
6544500154520
7103103404503
oct17534240320
95380113003
102104574160
1198aa82797
124a8998a40
1327702cb70
1415d71b13a
15c4b6c7e0
hex7d7140d0

2104574160 has 160 divisors (see below), whose sum is σ = 7439523840. Its totient is φ = 487563264.

The previous prime is 2104574137. The next prime is 2104574179. The reversal of 2104574160 is 614754012.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 33201 + ... + 72879.

It is an arithmetic number, because the mean of its divisors is an integer number (46497024).

Almost surely, 22104574160 is an apocalyptic number.

2104574160 is a gapful number since it is divisible by the number (20) 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 2104574160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719761920).

2104574160 is an abundant number, since it is smaller than the sum of its proper divisors (5334949680).

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

2104574160 is a wasteful number, since it uses less digits than its factorization.

2104574160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39725 (or 39719 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2104574160 is about 45875.6379792151. The cubic root of 2104574160 is about 1281.5082643841.

The spelling of 2104574160 in words is "two billion, one hundred four million, five hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 13260 17680 26520 39679 53040 79358 119037 158716 198395 238074 317432 396790 476148 515827 595185 634864 674543 793580 952296 1031654 1190370 1349086 1547481 1587160 1904592 2023629 2063308 2380740 2579135 2698172 3094962 3174320 3372715 4047258 4126616 4761480 5158270 5396344 6189924 6745430 7737405 8094516 8253232 8769059 9522960 10118145 10316540 10792688 12379848 13490860 15474810 16189032 17538118 20236290 20633080 24759696 26307177 26981720 30949620 32378064 35076236 40472580 41266160 43845295 52614354 53963440 61899240 70152472 80945160 87690590 105228708 123798480 131535885 140304944 161890320 175381180 210457416 263071770 350762360 420914832 526143540 701524720 1052287080 2104574160