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2115960 = 2335711229
BaseRepresentation
bin1000000100100101111000
310222111112220
420010211320
51020202320
6113204040
723661660
oct10044570
93874486
102115960
111215830
12860620
13591162
143d11a0
152bbe40
hex204978

2115960 has 128 divisors (see below), whose sum is σ = 7948800. Its totient is φ = 437760.

The previous prime is 2115943. The next prime is 2115961. The reversal of 2115960 is 695112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2115960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9126 + ... + 9354.

It is an arithmetic number, because the mean of its divisors is an integer number (62100).

22115960 is an apocalyptic number.

2115960 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 2115960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974400).

2115960 is an abundant number, since it is smaller than the sum of its proper divisors (5832840).

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

2115960 is a wasteful number, since it uses less digits than its factorization.

2115960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 2115960 is about 1454.6339745792. The cubic root of 2115960 is about 128.3815114925.

The spelling of 2115960 in words is "two million, one hundred fifteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 229 231 264 280 308 330 385 420 440 458 462 616 660 687 770 840 916 924 1145 1155 1320 1374 1540 1603 1832 1848 2290 2310 2519 2748 3080 3206 3435 4580 4620 4809 5038 5496 6412 6870 7557 8015 9160 9240 9618 10076 12595 12824 13740 15114 16030 17633 19236 20152 24045 25190 27480 30228 32060 35266 37785 38472 48090 50380 52899 60456 64120 70532 75570 88165 96180 100760 105798 141064 151140 176330 192360 211596 264495 302280 352660 423192 528990 705320 1057980 2115960