Search a number
-
+
1129700 = 2252111379
BaseRepresentation
bin100010011110011100100
32010101122202
410103303210
5242122300
640114032
712413405
oct4236344
92111582
101129700
11701840
12465918
13307280
142159ac
15174ad5
hex113ce4

1129700 has 72 divisors (see below), whose sum is σ = 2916480. Its totient is φ = 374400.

The previous prime is 1129699. The next prime is 1129717. The reversal of 1129700 is 79211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14261 + ... + 14339.

21129700 is an apocalyptic number.

1129700 is a gapful number since it is divisible by the number (10) 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 1129700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458240).

1129700 is an abundant number, since it is smaller than the sum of its proper divisors (1786780).

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

1129700 is a wasteful number, since it uses less digits than its factorization.

1129700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1129700 is about 1062.8734637764. The cubic root of 1129700 is about 104.1488253888.

The spelling of 1129700 in words is "one million, one hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 79 100 110 130 143 158 220 260 275 286 316 325 395 550 572 650 715 790 869 1027 1100 1300 1430 1580 1738 1975 2054 2860 3476 3575 3950 4108 4345 5135 7150 7900 8690 10270 11297 14300 17380 20540 21725 22594 25675 43450 45188 51350 56485 86900 102700 112970 225940 282425 564850 1129700