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1991200 = 255219131
BaseRepresentation
bin111100110001000100000
310202011102011
413212020200
51002204300
6110402304
722632151
oct7461040
93664364
101991200
111140022
12800394
13549433
1439b928
15294eba
hex1e6220

1991200 has 72 divisors (see below), whose sum is σ = 5155920. Its totient is φ = 748800.

The previous prime is 1991189. The next prime is 1991239. The reversal of 1991200 is 21991.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15135 + ... + 15265.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

21991200 is an apocalyptic number.

1991200 is a gapful number since it is divisible by the number (10) 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 1991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577960).

1991200 is an abundant number, since it is smaller than the sum of its proper divisors (3164720).

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

1991200 is a wasteful number, since it uses less digits than its factorization.

1991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 1991200 is about 1411.0988625890. The cubic root of 1991200 is about 125.8070448814.

It can be divided in two parts, 19 and 91200, that added together give a palindrome (91219).

The spelling of 1991200 in words is "one million, nine hundred ninety-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 131 152 160 190 200 262 304 380 400 475 524 608 655 760 800 950 1048 1310 1520 1900 2096 2489 2620 3040 3275 3800 4192 4978 5240 6550 7600 9956 10480 12445 13100 15200 19912 20960 24890 26200 39824 49780 52400 62225 79648 99560 104800 124450 199120 248900 398240 497800 995600 1991200