Search a number
-
+
1141700 = 225272233
BaseRepresentation
bin100010110101111000100
32011000010012
410112233010
5243013300
640245352
712463400
oct4265704
92130105
101141700
1170a85a
12470858
1330c881
1421a100
15178435
hex116bc4

1141700 has 54 divisors (see below), whose sum is σ = 2894346. Its totient is φ = 389760.

The previous prime is 1141667. The next prime is 1141717. The reversal of 1141700 is 71411.

1141700 = T101 + T102 + ... + T198.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9604 + 1132096 = 98^2 + 1064^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4784 + ... + 5016.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

21141700 is an apocalyptic number.

1141700 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 1141700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447173).

1141700 is an abundant number, since it is smaller than the sum of its proper divisors (1752646).

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

1141700 is a wasteful number, since it uses less digits than its factorization.

1141700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 1141700 is about 1068.5036265732. The cubic root of 1141700 is about 104.5162936370.

The spelling of 1141700 in words is "one million, one hundred forty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 233 245 350 466 490 700 932 980 1165 1225 1631 2330 2450 3262 4660 4900 5825 6524 8155 11417 11650 16310 22834 23300 32620 40775 45668 57085 81550 114170 163100 228340 285425 570850 1141700