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460020132 = 22321113193463
BaseRepresentation
bin11011011010110…
…101100110100100
31012001121102222200
4123122311212210
51420231121012
6113351454500
714254051365
oct3332654644
91161542880
10460020132
1121673aa30
1210a087430
13743c7780
1445149b6c
152a5bc3dc
hex1b6b59a4

460020132 has 144 divisors (see below), whose sum is σ = 1376164608. Its totient is φ = 127733760.

The previous prime is 460020101. The next prime is 460020137. The reversal of 460020132 is 231020064.

It is a happy number.

460020132 is a `hidden beast` number, since 460 + 0 + 201 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (460020137) 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, 993333 + ... + 993795.

Almost surely, 2460020132 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 460020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688082304).

460020132 is an abundant number, since it is smaller than the sum of its proper divisors (916144476).

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

460020132 is a wasteful number, since it uses less digits than its factorization.

460020132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 460020132 is about 21448.0799140622. The cubic root of 460020132 is about 771.9555242080.

Adding to 460020132 its reverse (231020064), we get a palindrome (691040196).

The spelling of 460020132 in words is "four hundred sixty million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 193 198 234 286 386 396 429 463 468 572 579 772 858 926 1158 1287 1389 1716 1737 1852 2123 2316 2509 2574 2778 3474 4167 4246 5018 5093 5148 5556 6019 6369 6948 7527 8334 8492 10036 10186 12038 12738 15054 15279 16668 18057 19107 20372 22581 24076 25476 27599 30108 30558 36114 38214 45162 45837 54171 55198 61116 66209 72228 76428 82797 89359 90324 91674 108342 110396 132418 165594 178718 183348 198627 216684 248391 264836 268077 331188 357436 397254 496782 536154 595881 794508 804231 982949 993564 1072308 1161667 1191762 1608462 1965898 2323334 2383524 2948847 3216924 3485001 3931796 4646668 5897694 6970002 8846541 10455003 11795388 12778337 13940004 17693082 20910006 25556674 35386164 38335011 41820012 51113348 76670022 115005033 153340044 230010066 460020132