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2493750 = 2355719
BaseRepresentation
bin1001100000110100110110
311200200210010
421200310312
51114300000
6125241050
730124260
oct11406466
94620703
102493750
111453656
12a03186
136940bc
1448cb30
15343d50
hex260d36

2493750 has 96 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 540000.

The previous prime is 2493749. The next prime is 2493767. The reversal of 2493750 is 573942.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 213 + 44 + 93 + 312 + 7 + 59 + 0 .

It is a Curzon number.

It is a congruent number.

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, 131241 + ... + 131259.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

22493750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2493750 is an abundant number, since it is smaller than the sum of its proper divisors (5005770).

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

2493750 is an equidigital number, since it uses as much as digits as its factorization.

2493750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2493750 is about 1579.1611697354. The cubic root of 2493750 is about 135.6076857140.

It can be divided in two parts, 24 and 93750, that multiplied together give a square (2250000 = 15002).

The spelling of 2493750 in words is "two million, four hundred ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 125 133 150 175 190 210 250 266 285 350 375 399 475 525 570 625 665 750 798 875 950 1050 1250 1330 1425 1750 1875 1995 2375 2625 2850 3125 3325 3750 3990 4375 4750 5250 6250 6650 7125 8750 9375 9975 11875 13125 14250 16625 18750 19950 21875 23750 26250 33250 35625 43750 49875 59375 65625 71250 83125 99750 118750 131250 166250 178125 249375 356250 415625 498750 831250 1246875 2493750