Search a number
-
+
1189320 = 2335111753
BaseRepresentation
bin100100010010111001000
32020102102220
410202113020
5301024240
641254040
713052256
oct4422710
92212386
101189320
11742610
12494320
13328452
1422d5d6
151875d0
hex1225c8

1189320 has 128 divisors (see below), whose sum is σ = 4199040. Its totient is φ = 266240.

The previous prime is 1189313. The next prime is 1189327. The reversal of 1189320 is 239811.

It is an interprime number because it is at equal distance from previous prime (1189313) and next prime (1189327).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1189327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22414 + ... + 22466.

It is an arithmetic number, because the mean of its divisors is an integer number (32805).

21189320 is an apocalyptic number.

1189320 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 1189320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099520).

1189320 is an abundant number, since it is smaller than the sum of its proper divisors (3009720).

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

1189320 is a wasteful number, since it uses less digits than its factorization.

1189320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1189320 is about 1090.5594894365. The cubic root of 1189320 is about 105.9496616332.

The spelling of 1189320 in words is "one million, one hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 53 55 60 66 68 85 88 102 106 110 120 132 136 159 165 170 187 204 212 220 255 264 265 318 330 340 374 408 424 440 510 530 561 583 636 660 680 748 795 901 935 1020 1060 1122 1166 1272 1320 1496 1590 1749 1802 1870 2040 2120 2244 2332 2703 2805 2915 3180 3498 3604 3740 4488 4505 4664 5406 5610 5830 6360 6996 7208 7480 8745 9010 9911 10812 11220 11660 13515 13992 17490 18020 19822 21624 22440 23320 27030 29733 34980 36040 39644 49555 54060 59466 69960 79288 99110 108120 118932 148665 198220 237864 297330 396440 594660 1189320