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210148380 = 2232513312897
BaseRepresentation
bin11001000011010…
…01110000011100
3112122102122101100
430201221300130
5412244222010
632504113100
75131142331
oct1441516034
9478378340
10210148380
11a8694652
125a465790
13346cb570
141dca4988
15136b12c0
hexc869c1c

210148380 has 144 divisors (see below), whose sum is σ = 708873984. Its totient is φ = 50042880.

The previous prime is 210148363. The next prime is 210148387. The reversal of 210148380 is 83841012.

210148380 is a `hidden beast` number, since 2 + 101 + 483 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210148387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71092 + ... + 73988.

It is an arithmetic number, because the mean of its divisors is an integer number (4922736).

Almost surely, 2210148380 is an apocalyptic number.

210148380 is a gapful number since it is divisible by the number (20) 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 210148380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354436992).

210148380 is an abundant number, since it is smaller than the sum of its proper divisors (498725604).

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

210148380 is a wasteful number, since it uses less digits than its factorization.

210148380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 210148380 is about 14496.4954385534. The cubic root of 210148380 is about 594.5321558316.

Adding to 210148380 its reverse (83841012), we get a palindrome (293989392).

The spelling of 210148380 in words is "two hundred ten million, one hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 2897 3627 4030 4836 5580 5794 6045 7254 8060 8691 11588 12090 14485 14508 17382 18135 24180 26073 28970 34764 36270 37661 43455 52146 57940 72540 75322 86910 89807 104292 112983 130365 150644 173820 179614 188305 225966 260730 269421 338949 359228 376610 449035 451932 521460 538842 564915 677898 753220 808263 898070 1077684 1129830 1167491 1347105 1355796 1616526 1694745 1796140 2259660 2334982 2694210 3233052 3389490 3502473 4041315 4669964 5388420 5837455 6778980 7004946 8082630 10507419 11674910 14009892 16165260 17512365 21014838 23349820 35024730 42029676 52537095 70049460 105074190 210148380