Search a number
-
+
4680432720 = 24355240763
BaseRepresentation
bin1000101101111100…
…11011110001010000
3110002012001121200000
410112332123301100
534041142321340
62052233530000
7223662010305
oct42676336120
913065047600
104680432720
111a91a89417
12aa7573900
1359789c622
143258770ac
151c5d7ed30
hex116f9bc50

4680432720 has 120 divisors (see below), whose sum is σ = 16300685856. Its totient is φ = 1248110208.

The previous prime is 4680432719. The next prime is 4680432737. The reversal of 4680432720 is 272340864.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100942 + ... + 139821.

Almost surely, 24680432720 is an apocalyptic number.

4680432720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4680432720 is an abundant number, since it is smaller than the sum of its proper divisors (11620253136).

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

4680432720 is a wasteful number, since it uses less digits than its factorization.

4680432720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240791 (or 240773 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4680432720 is about 68413.6881040629. The cubic root of 4680432720 is about 1672.7408730277.

It can be divided in two parts, 46804 and 32720, that added together give a square (79524 = 2822).

The spelling of 4680432720 in words is "four billion, six hundred eighty million, four hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 240763 481526 722289 963052 1203815 1444578 1926104 2166867 2407630 2889156 3611445 3852208 4333734 4815260 5778312 6500601 7222890 8667468 9630520 10834335 11556624 13001202 14445780 17334936 19261040 19501803 21668670 26002404 28891560 32503005 34669872 39003606 43337340 52004808 57783120 58505409 65006010 78007212 86674680 97509015 104009616 117010818 130012020 156014424 173349360 195018030 234021636 260024040 292527045 312028848 390036060 468043272 520048080 585054090 780072120 936086544 1170108180 1560144240 2340216360 4680432720