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2123940 = 2235713389
BaseRepresentation
bin1000000110100010100100
310222220111110
420012202210
51020431230
6113305020
724024150
oct10064244
93886443
102123940
111220825
12865170
13594990
143d4060
152be4b0
hex2068a4

2123940 has 96 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 446976.

The previous prime is 2123939. The next prime is 2123969. The reversal of 2123940 is 493212.

It is a super-2 number, since 2×21239402 = 9022242247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5266 + ... + 5654.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

22123940 is an apocalyptic number.

2123940 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 2123940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

2123940 is an abundant number, since it is smaller than the sum of its proper divisors (5214300).

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

2123940 is a wasteful number, since it uses less digits than its factorization.

2123940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2123940 is about 1457.3743513593. The cubic root of 2123940 is about 128.5426990482.

The spelling of 2123940 in words is "two million, one hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 389 390 420 455 546 778 780 910 1092 1167 1365 1556 1820 1945 2334 2723 2730 3890 4668 5057 5446 5460 5835 7780 8169 10114 10892 11670 13615 15171 16338 20228 23340 25285 27230 30342 32676 35399 40845 50570 54460 60684 70798 75855 81690 101140 106197 141596 151710 163380 176995 212394 303420 353990 424788 530985 707980 1061970 2123940