Search a number
-
+
1114920 = 2332519163
BaseRepresentation
bin100010000001100101000
32002122101100
410100030220
5241134140
635521400
712322332
oct4201450
92078340
101114920
116a1724
12459260
13300621
14210452
15170530
hex110328

1114920 has 96 divisors (see below), whose sum is σ = 3837600. Its totient is φ = 279936.

The previous prime is 1114909. The next prime is 1114931. The reversal of 1114920 is 294111.

It is an interprime number because it is at equal distance from previous prime (1114909) and next prime (1114931).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1114893 and 1114902.

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, 6759 + ... + 6921.

It is an arithmetic number, because the mean of its divisors is an integer number (39975).

21114920 is an apocalyptic number.

1114920 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 1114920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918800).

1114920 is an abundant number, since it is smaller than the sum of its proper divisors (2722680).

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

1114920 is a wasteful number, since it uses less digits than its factorization.

1114920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1114920 is about 1055.8977223197. The cubic root of 1114920 is about 103.6926329200.

It can be divided in two parts, 1 and 114920, that added together give a square (114921 = 3392).

The spelling of 1114920 in words is "one million, one hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 163 171 180 190 228 285 326 342 360 380 456 489 570 652 684 760 815 855 978 1140 1304 1368 1467 1630 1710 1956 2280 2445 2934 3097 3260 3420 3912 4890 5868 6194 6520 6840 7335 9291 9780 11736 12388 14670 15485 18582 19560 24776 27873 29340 30970 37164 46455 55746 58680 61940 74328 92910 111492 123880 139365 185820 222984 278730 371640 557460 1114920