Search a number
-
+
155164320 = 25325277389
BaseRepresentation
bin10010011111110…
…01111010100000
3101210222011102200
421033321322200
5304210224240
623221413200
73562606053
oct1117717240
9353864380
10155164320
117a64a283
1243b6a200
13261b970c
1416870a9a
15d94e930
hex93f9ea0

155164320 has 144 divisors (see below), whose sum is σ = 532775880. Its totient is φ = 41121792.

The previous prime is 155164319. The next prime is 155164351. The reversal of 155164320 is 23461551.

155164320 is a `hidden beast` number, since 15 + 5 + 1 + 643 + 2 + 0 = 666.

155164320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78216336 + 76947984 = 8844^2 + 8772^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398686 + ... + 399074.

Almost surely, 2155164320 is an apocalyptic number.

155164320 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 155164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266387940).

155164320 is an abundant number, since it is smaller than the sum of its proper divisors (377611560).

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

155164320 is a wasteful number, since it uses less digits than its factorization.

155164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 155164320 is about 12456.4970999073. The cubic root of 155164320 is about 537.3582911084.

The spelling of 155164320 in words is "one hundred fifty-five million, one hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 277 288 360 389 480 554 720 778 831 1108 1167 1385 1440 1556 1662 1945 2216 2334 2493 2770 3112 3324 3501 3890 4155 4432 4668 4986 5540 5835 6224 6648 7002 7780 8310 8864 9336 9972 11080 11670 12448 12465 13296 14004 15560 16620 17505 18672 19944 22160 23340 24930 26592 28008 31120 33240 35010 37344 39888 44320 46680 49860 56016 62240 66480 70020 79776 93360 99720 107753 112032 132960 140040 186720 199440 215506 280080 323259 398880 431012 538765 560160 646518 862024 969777 1077530 1293036 1616295 1724048 1939554 2155060 2586072 3232590 3448096 3879108 4310120 4848885 5172144 6465180 7758216 8620240 9697770 10344288 12930360 15516432 17240480 19395540 25860720 31032864 38791080 51721440 77582160 155164320