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2104564320 = 253252715393
BaseRepresentation
bin111110101110001…
…0001101001100000
312102200002221111200
41331130101221200
513302232024240
6544500041200
7103103334015
oct17534215140
95380087450
102104564320
1198aa76361
124a8993200
13277028541
1415d71770c
15c4b69930
hex7d711a60

2104564320 has 144 divisors (see below), whose sum is σ = 7209663552. Its totient is φ = 559042560.

The previous prime is 2104564313. The next prime is 2104564327. The reversal of 2104564320 is 234654012.

2104564320 is a `hidden beast` number, since 2 + 10 + 4 + 5 + 643 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2104564313) and next prime (2104564327).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104564327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387544 + ... + 392936.

It is an arithmetic number, because the mean of its divisors is an integer number (50067108).

Almost surely, 22104564320 is an apocalyptic number.

2104564320 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 2104564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604831776).

2104564320 is an abundant number, since it is smaller than the sum of its proper divisors (5105099232).

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

2104564320 is a wasteful number, since it uses less digits than its factorization.

2104564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2104564320 is about 45875.5307326248. The cubic root of 2104564320 is about 1281.5062671375.

The spelling of 2104564320 in words is "two billion, one hundred four million, five hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 271 288 360 480 542 720 813 1084 1355 1440 1626 2168 2439 2710 3252 4065 4336 4878 5393 5420 6504 8130 8672 9756 10786 10840 12195 13008 16179 16260 19512 21572 21680 24390 26016 26965 32358 32520 39024 43144 43360 48537 48780 53930 64716 65040 78048 80895 86288 97074 97560 107860 129432 130080 161790 172576 194148 195120 215720 242685 258864 323580 388296 390240 431440 485370 517728 647160 776592 862880 970740 1294320 1461503 1553184 1941480 2588640 2923006 3882960 4384509 5846012 7307515 7765920 8769018 11692024 13153527 14615030 17538036 21922545 23384048 26307054 29230060 35076072 43845090 46768096 52614108 58460120 65767635 70152144 87690180 105228216 116920240 131535270 140304288 175380360 210456432 233840480 263070540 350760720 420912864 526141080 701521440 1052282160 2104564320