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1189920 = 25353767
BaseRepresentation
bin100100010100000100000
32020110021010
410202200200
5301034140
641300520
713054104
oct4424040
92213233
101189920
11743006
12494740
133287c4
1422d904
15187880
hex122820

1189920 has 96 divisors (see below), whose sum is σ = 3907008. Its totient is φ = 304128.

The previous prime is 1189919. The next prime is 1189933. The reversal of 1189920 is 299811.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17727 + ... + 17793.

It is an arithmetic number, because the mean of its divisors is an integer number (40698).

21189920 is an apocalyptic number.

1189920 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 1189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953504).

1189920 is an abundant number, since it is smaller than the sum of its proper divisors (2717088).

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

1189920 is a wasteful number, since it uses less digits than its factorization.

1189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 1189920 is about 1090.8345429074. The cubic root of 1189920 is about 105.9674754848.

The spelling of 1189920 in words is "one million, one hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 67 74 80 96 111 120 134 148 160 185 201 222 240 268 296 335 370 402 444 480 536 555 592 670 740 804 888 1005 1072 1110 1184 1340 1480 1608 1776 2010 2144 2220 2479 2680 2960 3216 3552 4020 4440 4958 5360 5920 6432 7437 8040 8880 9916 10720 12395 14874 16080 17760 19832 24790 29748 32160 37185 39664 49580 59496 74370 79328 99160 118992 148740 198320 237984 297480 396640 594960 1189920