Search a number
-
+
2741700 = 22352131937
BaseRepresentation
bin1010011101010111000100
312011021220110
422131113010
51200213300
6134433020
732206203
oct12352704
95137813
102741700
111602975
12b02770
1374cc10
1451523a
15392550
hex29d5c4

2741700 has 144 divisors (see below), whose sum is σ = 9235520. Its totient is φ = 622080.

The previous prime is 2741693. The next prime is 2741729. The reversal of 2741700 is 71472.

2741700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 74082 + ... + 74118.

22741700 is an apocalyptic number.

2741700 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 2741700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617760).

2741700 is an abundant number, since it is smaller than the sum of its proper divisors (6493820).

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

2741700 is a wasteful number, since it uses less digits than its factorization.

2741700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 2741700 is about 1655.8079598794. The cubic root of 2741700 is about 139.9608734198.

The spelling of 2741700 in words is "two million, seven hundred forty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 37 38 39 50 52 57 60 65 74 75 76 78 95 100 111 114 130 148 150 156 185 190 195 222 228 247 260 285 300 325 370 380 390 444 475 481 494 555 570 650 703 740 741 780 925 950 962 975 988 1110 1140 1235 1300 1406 1425 1443 1482 1850 1900 1924 1950 2109 2220 2405 2470 2775 2812 2850 2886 2964 3515 3700 3705 3900 4218 4810 4940 5550 5700 5772 6175 7030 7215 7410 8436 9139 9620 10545 11100 12025 12350 14060 14430 14820 17575 18278 18525 21090 24050 24700 27417 28860 35150 36075 36556 37050 42180 45695 48100 52725 54834 70300 72150 74100 91390 105450 109668 137085 144300 182780 210900 228475 274170 456950 548340 685425 913900 1370850 2741700