Search a number
-
+
1107150 = 235211261
BaseRepresentation
bin100001110010011001110
32002020201120
410032103032
5240412100
635421410
712260562
oct4162316
92066646
101107150
11696900
12454866
132c9c25
1420b6a2
1516d0a0
hex10e4ce

1107150 has 72 divisors (see below), whose sum is σ = 3067512. Its totient is φ = 264000.

The previous prime is 1107109. The next prime is 1107157. The reversal of 1107150 is 517011.

It is a super-2 number, since 2×11071502 = 2451562245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18120 + ... + 18180.

21107150 is an apocalyptic number.

1107150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533756).

1107150 is an abundant number, since it is smaller than the sum of its proper divisors (1960362).

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

1107150 is a wasteful number, since it uses less digits than its factorization.

1107150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 15.

The square root of 1107150 is about 1052.2119558340. The cubic root of 1107150 is about 103.4511893815.

It can be divided in two parts, 110 and 7150, that added together give a triangular number (7260 = T120).

The spelling of 1107150 in words is "one million, one hundred seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 61 66 75 110 121 122 150 165 183 242 275 305 330 363 366 550 605 610 671 726 825 915 1210 1342 1525 1650 1815 1830 2013 3025 3050 3355 3630 4026 4575 6050 6710 7381 9075 9150 10065 14762 16775 18150 20130 22143 33550 36905 44286 50325 73810 100650 110715 184525 221430 369050 553575 1107150