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466156980 = 2232543229263
BaseRepresentation
bin11011110010001…
…111110110110100
31012111011020011100
4123302033312310
51423314010410
6114131210100
714360161152
oct3362176664
91174136140
10466156980
1121a151703
12110146930
1375765b43
1445ca63d2
152add08c0
hex1bc8fdb4

466156980 has 144 divisors (see below), whose sum is σ = 1458737280. Its totient is φ = 120427776.

The previous prime is 466156927. The next prime is 466156981. The reversal of 466156980 is 89651664.

466156980 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 569 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466156981) 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, 1772329 + ... + 1772591.

It is an arithmetic number, because the mean of its divisors is an integer number (10130120).

Almost surely, 2466156980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466156980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729368640).

466156980 is an abundant number, since it is smaller than the sum of its proper divisors (992580300).

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

466156980 is a wasteful number, since it uses less digits than its factorization.

466156980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 466156980 is about 21590.6688178018. The cubic root of 466156980 is about 775.3731009632.

The spelling of 466156980 in words is "four hundred sixty-six million, one hundred fifty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 229 258 263 387 430 458 516 526 645 687 774 789 860 916 1052 1145 1290 1315 1374 1548 1578 1935 2061 2290 2367 2580 2630 2748 3156 3435 3870 3945 4122 4580 4734 5260 6870 7740 7890 8244 9468 9847 10305 11309 11835 13740 15780 19694 20610 22618 23670 29541 33927 39388 41220 45236 47340 49235 56545 59082 60227 67854 88623 98470 101781 113090 118164 120454 135708 147705 169635 177246 180681 196940 203562 226180 240908 295410 301135 339270 354492 361362 407124 443115 508905 542043 590820 602270 678540 722724 886230 903405 1017810 1084086 1204540 1772460 1806810 2035620 2168172 2589761 2710215 3613620 5179522 5420430 7769283 10359044 10840860 12948805 15538566 23307849 25897610 31077132 38846415 46615698 51795220 77692830 93231396 116539245 155385660 233078490 466156980