Search a number
-
+
2745000 = 23325461
BaseRepresentation
bin1010011110001010101000
312011110102200
422132022220
51200320000
6134500200
732221626
oct12361250
95143380
102745000
1116053a5
12b04660
1375157b
14516516
15393500
hex29e2a8

2745000 has 120 divisors (see below), whose sum is σ = 9442290. Its totient is φ = 720000.

The previous prime is 2744969. The next prime is 2745011. The reversal of 2745000 is 5472.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 101124 + 2643876 = 318^2 + 1626^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44970 + ... + 45030.

22745000 is an apocalyptic number.

2745000 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 2745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721145).

2745000 is an abundant number, since it is smaller than the sum of its proper divisors (6697290).

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

2745000 is a wasteful number, since it uses less digits than its factorization.

2745000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2745000 is about 1656.8041525781. The cubic root of 2745000 is about 140.0170047372.

The spelling of 2745000 in words is "two million, seven hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 61 72 75 90 100 120 122 125 150 180 183 200 225 244 250 300 305 360 366 375 450 488 500 549 600 610 625 732 750 900 915 1000 1098 1125 1220 1250 1464 1500 1525 1800 1830 1875 2196 2250 2440 2500 2745 3000 3050 3660 3750 4392 4500 4575 5000 5490 5625 6100 7320 7500 7625 9000 9150 10980 11250 12200 13725 15000 15250 18300 21960 22500 22875 27450 30500 36600 38125 45000 45750 54900 61000 68625 76250 91500 109800 114375 137250 152500 183000 228750 274500 305000 343125 457500 549000 686250 915000 1372500 2745000