Search a number
-
+
46030320 = 2432579133
BaseRepresentation
bin1010111110010…
…1110111110000
310012121120201200
42233211313300
543240432240
64322331200
71066152120
oct257456760
9105546650
1046030320
1123a8a296
12134b9b00
1396c859b
146182c80
154093930
hex2be5df0

46030320 has 120 divisors (see below), whose sum is σ = 176688096. Its totient is φ = 10520064.

The previous prime is 46030301. The next prime is 46030321. The reversal of 46030320 is 2303064.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 46030293 and 46030302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46030321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474 + ... + 9606.

Almost surely, 246030320 is an apocalyptic number.

46030320 is a gapful number since it is divisible by the number (40) 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 46030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88344048).

46030320 is an abundant number, since it is smaller than the sum of its proper divisors (130657776).

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

46030320 is a wasteful number, since it uses less digits than its factorization.

46030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 46030320 is about 6784.5648349765. The cubic root of 46030320 is about 358.3834930083.

Adding to 46030320 its reverse (2303064), we get a palindrome (48333384).

The spelling of 46030320 in words is "forty-six million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 9133 18266 27399 36532 45665 54798 63931 73064 82197 91330 109596 127862 136995 146128 164394 182660 191793 219192 255724 273990 319655 328788 365320 383586 410985 438384 511448 547980 575379 639310 657576 730640 767172 821970 958965 1022896 1095960 1150758 1278620 1315152 1534344 1643940 1917930 2191920 2301516 2557240 2876895 3068688 3287880 3835860 4603032 5114480 5753790 6575760 7671720 9206064 11507580 15343440 23015160 46030320