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1198080 = 21132513
BaseRepresentation
bin100100100100000000000
32020212110100
410210200000
5301314310
641402400
713116642
oct4444000
92225410
101198080
11749154
12499400
1332c430
14232892
15189ec0
hex124800

1198080 has 144 divisors (see below), whose sum is σ = 4471740. Its totient is φ = 294912.

The previous prime is 1198073. The next prime is 1198081. The reversal of 1198080 is 808911.

1198080 divided by its product of nonzero digits (576) gives a triangular number (2080 = T64).

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 82944 = 1056^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1198081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92154 + ... + 92166.

21198080 is an apocalyptic number.

1198080 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 1198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235870).

1198080 is an abundant number, since it is smaller than the sum of its proper divisors (3273660).

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

1198080 is a wasteful number, since it uses less digits than its factorization.

1198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1198080 is about 1094.5684080952. The cubic root of 1198080 is about 106.2091515409.

The spelling of 1198080 in words is "one million, one hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 234 240 256 260 288 312 320 360 384 390 416 468 480 512 520 576 585 624 640 720 768 780 832 936 960 1024 1040 1152 1170 1248 1280 1440 1536 1560 1664 1872 1920 2048 2080 2304 2340 2496 2560 2880 3072 3120 3328 3744 3840 4160 4608 4680 4992 5120 5760 6144 6240 6656 7488 7680 8320 9216 9360 9984 10240 11520 12480 13312 14976 15360 16640 18432 18720 19968 23040 24960 26624 29952 30720 33280 37440 39936 46080 49920 59904 66560 74880 79872 92160 99840 119808 133120 149760 199680 239616 299520 399360 599040 1198080