Search a number
-
+
1117920 = 253517137
BaseRepresentation
bin100010000111011100000
32002210111110
410100323200
5241233140
635543320
712334146
oct4207340
92083443
101117920
116a3a01
1245ab40
13301abb
14211596
15171380
hex110ee0

1117920 has 96 divisors (see below), whose sum is σ = 3755808. Its totient is φ = 278528.

The previous prime is 1117913. The next prime is 1117931. The reversal of 1117920 is 297111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8092 + ... + 8228.

It is an arithmetic number, because the mean of its divisors is an integer number (39123).

21117920 is an apocalyptic number.

1117920 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 1117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877904).

1117920 is an abundant number, since it is smaller than the sum of its proper divisors (2637888).

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

1117920 is a wasteful number, since it uses less digits than its factorization.

1117920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 1117920 is about 1057.3173601147. The cubic root of 1117920 is about 103.7855541763.

The spelling of 1117920 in words is "one million, one hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 137 160 170 204 240 255 272 274 340 408 411 480 510 544 548 680 685 816 822 1020 1096 1360 1370 1632 1644 2040 2055 2192 2329 2720 2740 3288 4080 4110 4384 4658 5480 6576 6987 8160 8220 9316 10960 11645 13152 13974 16440 18632 21920 23290 27948 32880 34935 37264 46580 55896 65760 69870 74528 93160 111792 139740 186320 223584 279480 372640 558960 1117920