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2139900 = 2235271019
BaseRepresentation
bin1000001010011011111100
311000201101120
420022123330
51021434100
6113510540
724121530
oct10123374
94021346
102139900
111231814
12872450
1359c019
143d9bc0
152c40a0
hex20a6fc

2139900 has 72 divisors (see below), whose sum is σ = 7082880. Its totient is φ = 488640.

The previous prime is 2139877. The next prime is 2139911. The reversal of 2139900 is 99312.

It is a happy number.

2139900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591 + ... + 2609.

22139900 is an apocalyptic number.

2139900 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 2139900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541440).

2139900 is an abundant number, since it is smaller than the sum of its proper divisors (4942980).

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

2139900 is a wasteful number, since it uses less digits than its factorization.

2139900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 2139900 is about 1462.8397041371. The cubic root of 2139900 is about 128.8638669663.

The spelling of 2139900 in words is "two million, one hundred thirty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1019 1050 2038 2100 3057 4076 5095 6114 7133 10190 12228 14266 15285 20380 21399 25475 28532 30570 35665 42798 50950 61140 71330 76425 85596 101900 106995 142660 152850 178325 213990 305700 356650 427980 534975 713300 1069950 2139900