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2196960 = 253523199
BaseRepresentation
bin1000011000010111100000
311010121122220
420120113200
51030300320
6115031040
724450063
oct10302740
94117586
102196960
111270677
1289b480
135bbc9c
144128da
152d5e40
hex2185e0

2196960 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 557568.

The previous prime is 2196959. The next prime is 2196967. The reversal of 2196960 is 696912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196967) 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, 10941 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

22196960 is an apocalyptic number.

2196960 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 2196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2196960 is an abundant number, since it is smaller than the sum of its proper divisors (5060640).

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

2196960 is a wasteful number, since it uses less digits than its factorization.

2196960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2196960 is about 1482.2145593672. The cubic root of 2196960 is about 129.9992110406. Note that the first 3 decimals are identical.

The spelling of 2196960 in words is "two million, one hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 199 230 240 276 345 368 398 460 480 552 597 690 736 796 920 995 1104 1194 1380 1592 1840 1990 2208 2388 2760 2985 3184 3680 3980 4577 4776 5520 5970 6368 7960 9154 9552 11040 11940 13731 15920 18308 19104 22885 23880 27462 31840 36616 45770 47760 54924 68655 73232 91540 95520 109848 137310 146464 183080 219696 274620 366160 439392 549240 732320 1098480 2196960