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154980 = 22335741
BaseRepresentation
bin100101110101100100
321212121000
4211311210
514424410
63153300
71213560
oct456544
9255530
10154980
11a6491
1275830
1355707
14406a0
1530dc0
hex25d64

154980 has 96 divisors (see below), whose sum is σ = 564480. Its totient is φ = 34560.

The previous prime is 154943. The next prime is 154981. The reversal of 154980 is 89451.

154980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154981) by changing a digit.

154980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3760 + ... + 3800.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2154980 is an apocalyptic number.

154980 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 154980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

154980 is an abundant number, since it is smaller than the sum of its proper divisors (409500).

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

154980 is a wasteful number, since it uses less digits than its factorization.

154980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 154980 is about 393.6749928558. The cubic root of 154980 is about 53.7145430478.

The spelling of 154980 in words is "one hundred fifty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 41 42 45 54 60 63 70 82 84 90 105 108 123 126 135 140 164 180 189 205 210 246 252 270 287 315 369 378 410 420 492 540 574 615 630 738 756 820 861 945 1107 1148 1230 1260 1435 1476 1722 1845 1890 2214 2460 2583 2870 3444 3690 3780 4305 4428 5166 5535 5740 7380 7749 8610 10332 11070 12915 15498 17220 22140 25830 30996 38745 51660 77490 154980