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2152500 = 22354741
BaseRepresentation
bin1000001101100000110100
311001100200020
420031200310
51022340000
6114045140
724203340
oct10154064
94040606
102152500
111240229
128797b0
135a498c
14400620
152c7ba0
hex20d834

2152500 has 120 divisors (see below), whose sum is σ = 7347648. Its totient is φ = 480000.

The previous prime is 2152499. The next prime is 2152511. The reversal of 2152500 is 52512.

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 2152500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52480 + ... + 52520.

22152500 is an apocalyptic number.

2152500 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 2152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673824).

2152500 is an abundant number, since it is smaller than the sum of its proper divisors (5195148).

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

2152500 is a wasteful number, since it uses less digits than its factorization.

2152500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2152500 is about 1467.1400751121. The cubic root of 2152500 is about 129.1162943832.

It can be divided in two parts, 21 and 52500, that multiplied together give a square (1102500 = 10502).

The spelling of 2152500 in words is "two million, one hundred fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 75 82 84 100 105 123 125 140 150 164 175 205 210 246 250 287 300 350 375 410 420 492 500 525 574 615 625 700 750 820 861 875 1025 1050 1148 1230 1250 1435 1500 1722 1750 1875 2050 2100 2460 2500 2625 2870 3075 3444 3500 3750 4100 4305 4375 5125 5250 5740 6150 7175 7500 8610 8750 10250 10500 12300 13125 14350 15375 17220 17500 20500 21525 25625 26250 28700 30750 35875 43050 51250 52500 61500 71750 76875 86100 102500 107625 143500 153750 179375 215250 307500 358750 430500 538125 717500 1076250 2152500