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2115840 = 28351929
BaseRepresentation
bin1000000100100100000000
310222111101110
420010210000
51020201330
6113203320
723661426
oct10044400
93874343
102115840
111215731
12860540
1359109c
143d1116
152bbdb0
hex204900

2115840 has 144 divisors (see below), whose sum is σ = 7358400. Its totient is φ = 516096.

The previous prime is 2115829. The next prime is 2115847. The reversal of 2115840 is 485112.

It is not an unprimeable number, because it can be changed into a prime (2115847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72946 + ... + 72974.

It is an arithmetic number, because the mean of its divisors is an integer number (51100).

22115840 is an apocalyptic number.

2115840 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 2115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679200).

2115840 is an abundant number, since it is smaller than the sum of its proper divisors (5242560).

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

2115840 is a wasteful number, since it uses less digits than its factorization.

2115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2115840 is about 1454.5927265046. The cubic root of 2115840 is about 128.3790845291.

The spelling of 2115840 in words is "two million, one hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 29 30 32 38 40 48 57 58 60 64 76 80 87 95 96 114 116 120 128 145 152 160 174 190 192 228 232 240 256 285 290 304 320 348 380 384 435 456 464 480 551 570 580 608 640 696 760 768 870 912 928 960 1102 1140 1160 1216 1280 1392 1520 1653 1740 1824 1856 1920 2204 2280 2320 2432 2755 2784 3040 3306 3480 3648 3712 3840 4408 4560 4640 4864 5510 5568 6080 6612 6960 7296 7424 8265 8816 9120 9280 11020 11136 12160 13224 13920 14592 16530 17632 18240 18560 22040 22272 24320 26448 27840 33060 35264 36480 37120 44080 52896 55680 66120 70528 72960 88160 105792 111360 132240 141056 176320 211584 264480 352640 423168 528960 705280 1057920 2115840