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2104335520 = 25578322637
BaseRepresentation
bin111110101101101…
…1001110010100000
312102122200022122121
41331123121302200
513302202214040
6544451114024
7103101361660
oct17533316240
95378608577
102104335520
1198a92a471
124a88a2914
13276c78361
1415d6981a0
15c4b21c4a
hex7d6d9ca0

2104335520 has 96 divisors (see below), whose sum is σ = 5750414208. Its totient is φ = 712762368.

The previous prime is 2104335511. The next prime is 2104335529. The reversal of 2104335520 is 255334012.

It is an interprime number because it is at equal distance from previous prime (2104335511) and next prime (2104335529).

It is not an unprimeable number, because it can be changed into a prime (2104335529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81642 + ... + 104278.

It is an arithmetic number, because the mean of its divisors is an integer number (59900148).

Almost surely, 22104335520 is an apocalyptic number.

2104335520 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 2104335520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875207104).

2104335520 is an abundant number, since it is smaller than the sum of its proper divisors (3646078688).

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

2104335520 is a wasteful number, since it uses less digits than its factorization.

2104335520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22742 (or 22734 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2104335520 is about 45873.0369607245. The cubic root of 2104335520 is about 1281.4598253384.

Adding to 2104335520 its reverse (255334012), we get a palindrome (2359669532).

The spelling of 2104335520 in words is "two billion, one hundred four million, three hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 83 112 140 160 166 224 280 332 415 560 581 664 830 1120 1162 1328 1660 2324 2656 2905 3320 4648 5810 6640 9296 11620 13280 18592 22637 23240 45274 46480 90548 92960 113185 158459 181096 226370 316918 362192 452740 633836 724384 792295 905480 1267672 1584590 1810960 1878871 2535344 3169180 3621920 3757742 5070688 6338360 7515484 9394355 12676720 13152097 15030968 18788710 25353440 26304194 30061936 37577420 52608388 60123872 65760485 75154840 105216776 131520970 150309680 210433552 263041940 300619360 420867104 526083880 1052167760 2104335520