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2157300 = 2233521747
BaseRepresentation
bin1000001110101011110100
311001121021000
420032223310
51023013200
6114123300
724223335
oct10165364
94047230
102157300
1112438a2
12880530
135a6c12
1440228c
152c9300
hex20eaf4

2157300 has 144 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 529920.

The previous prime is 2157293. The next prime is 2157301. The reversal of 2157300 is 37512.

2157300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45877 + ... + 45923.

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

22157300 is an apocalyptic number.

2157300 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 2157300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2157300 is an abundant number, since it is smaller than the sum of its proper divisors (5342220).

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

2157300 is a wasteful number, since it uses less digits than its factorization.

2157300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2157300 is about 1468.7749997872. The cubic root of 2157300 is about 129.2121980770.

The spelling of 2157300 in words is "two million, one hundred fifty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 47 50 51 54 60 68 75 85 90 94 100 102 108 135 141 150 153 170 180 188 204 225 235 255 270 282 300 306 340 423 425 450 459 470 510 540 564 612 675 705 765 799 846 850 900 918 940 1020 1175 1269 1275 1350 1410 1530 1598 1692 1700 1836 2115 2295 2350 2397 2538 2550 2700 2820 3060 3196 3525 3825 3995 4230 4590 4700 4794 5076 5100 6345 7050 7191 7650 7990 8460 9180 9588 10575 11475 11985 12690 14100 14382 15300 15980 19975 21150 21573 22950 23970 25380 28764 31725 35955 39950 42300 43146 45900 47940 59925 63450 71910 79900 86292 107865 119850 126900 143820 179775 215730 239700 359550 431460 539325 719100 1078650 2157300