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146989080 = 2334576481
BaseRepresentation
bin10001100001011…
…10000000011000
3101020120211010000
420300232000120
5300112122310
622330253000
73433246410
oct1060560030
9336524100
10146989080
1175a76087
1241287160
13245b65b4
1415743640
15cd874c0
hex8c2e018

146989080 has 160 divisors (see below), whose sum is σ = 564711840. Its totient is φ = 33592320.

The previous prime is 146989079. The next prime is 146989091. The reversal of 146989080 is 80989641.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19440 + ... + 25920.

It is an arithmetic number, because the mean of its divisors is an integer number (3529449).

Almost surely, 2146989080 is an apocalyptic number.

146989080 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 146989080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282355920).

146989080 is an abundant number, since it is smaller than the sum of its proper divisors (417722760).

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

146989080 is a wasteful number, since it uses less digits than its factorization.

146989080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6511 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 146989080 is about 12123.9053114085. The cubic root of 146989080 is about 527.7501400445.

The spelling of 146989080 in words is "one hundred forty-six million, nine hundred eighty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 6481 7560 11340 12962 19443 22680 25924 32405 38886 45367 51848 58329 64810 77772 90734 97215 116658 129620 136101 155544 174987 181468 194430 226835 233316 259240 272202 291645 349974 362936 388860 408303 453670 466632 524961 544404 583290 680505 699948 777720 816606 874935 907340 1049922 1088808 1166580 1224909 1361010 1399896 1633212 1749870 1814680 2041515 2099844 2333160 2449818 2624805 2722020 3266424 3499740 3674727 4083030 4199688 4899636 5249610 5444040 6124545 6999480 7349454 8166060 9799272 10499220 12249090 14698908 16332120 18373635 20998440 24498180 29397816 36747270 48996360 73494540 146989080