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2114700 = 2235271953
BaseRepresentation
bin1000000100010010001100
310222102211020
420010102030
51020132300
6113154140
723655210
oct10042214
93872736
102114700
111214895
1285b950
13590703
143d0940
152bb8a0
hex20448c

2114700 has 144 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 449280.

The previous prime is 2114699. The next prime is 2114711. The reversal of 2114700 is 74112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2114700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39874 + ... + 39926.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

22114700 is an apocalyptic number.

2114700 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 2114700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2114700 is an abundant number, since it is smaller than the sum of its proper divisors (5384820).

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

2114700 is a wasteful number, since it uses less digits than its factorization.

2114700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2114700 is about 1454.2008114425. The cubic root of 2114700 is about 128.3560237985.

Adding to 2114700 its reverse (74112), we get a palindrome (2188812).

The spelling of 2114700 in words is "two million, one hundred fourteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 53 57 60 70 75 76 84 95 100 105 106 114 133 140 150 159 175 190 210 212 228 265 266 285 300 318 350 371 380 399 420 475 525 530 532 570 636 665 700 742 795 798 950 1007 1050 1060 1113 1140 1325 1330 1425 1484 1590 1596 1855 1900 1995 2014 2100 2226 2650 2660 2850 3021 3180 3325 3710 3975 3990 4028 4452 5035 5300 5565 5700 6042 6650 7049 7420 7950 7980 9275 9975 10070 11130 12084 13300 14098 15105 15900 18550 19950 20140 21147 22260 25175 27825 28196 30210 35245 37100 39900 42294 50350 55650 60420 70490 75525 84588 100700 105735 111300 140980 151050 176225 211470 302100 352450 422940 528675 704900 1057350 2114700