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2196720 = 24355113
BaseRepresentation
bin1000011000010011110000
311010121100000
420120103300
51030243340
6115030000
724446301
oct10302360
94117300
102196720
111270479
1289b300
135bbb46
144127a8
152d5d30
hex2184f0

2196720 has 120 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 580608.

The previous prime is 2196713. The next prime is 2196731. The reversal of 2196720 is 276912.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19384 + ... + 19496.

22196720 is an apocalyptic number.

2196720 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 2196720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

2196720 is an abundant number, since it is smaller than the sum of its proper divisors (5521536).

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

2196720 is a wasteful number, since it uses less digits than its factorization.

2196720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2196720 is about 1482.1335972172. The cubic root of 2196720 is about 129.9944770829.

It can be divided in two parts, 2196 and 720, that added together give a square (2916 = 542).

The spelling of 2196720 in words is "two million, one hundred ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 113 120 135 144 162 180 216 226 240 243 270 324 339 360 405 432 452 486 540 565 648 678 720 810 904 972 1017 1080 1130 1215 1296 1356 1620 1695 1808 1944 2034 2160 2260 2430 2712 3051 3240 3390 3888 4068 4520 4860 5085 5424 6102 6480 6780 8136 9040 9153 9720 10170 12204 13560 15255 16272 18306 19440 20340 24408 27120 27459 30510 36612 40680 45765 48816 54918 61020 73224 81360 91530 109836 122040 137295 146448 183060 219672 244080 274590 366120 439344 549180 732240 1098360 2196720