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4660142120 = 235476736997
BaseRepresentation
bin1000101011100010…
…00010000000101000
3110000202212202012022
410111301002000220
534020444021440
62050231004012
7223324361114
oct42561020050
913022782168
104660142120
111a8158a827
12aa0809608
13593616b5a
14322cb4744
151c41c2cb5
hex115c42028

4660142120 has 64 divisors (see below), whose sum is σ = 10868532480. Its totient is φ = 1797117696.

The previous prime is 4660142111. The next prime is 4660142189. The reversal of 4660142120 is 212410664.

It is a self number, because there is not a number n which added to its sum of digits gives 4660142120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107462 + ... + 144458.

It is an arithmetic number, because the mean of its divisors is an integer number (169820820).

Almost surely, 24660142120 is an apocalyptic number.

4660142120 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 4660142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434266240).

4660142120 is an abundant number, since it is smaller than the sum of its proper divisors (6208390360).

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

4660142120 is a wasteful number, since it uses less digits than its factorization.

4660142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37122 (or 37118 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4660142120 is about 68265.2336112607. The cubic root of 4660142120 is about 1670.3201508909.

Adding to 4660142120 its reverse (212410664), we get a palindrome (4872552784).

The spelling of 4660142120 in words is "four billion, six hundred sixty million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 67 94 134 188 235 268 335 376 470 536 670 940 1340 1880 2680 3149 6298 12596 15745 25192 31490 36997 62980 73994 125960 147988 184985 295976 369970 739940 1479880 1738859 2478799 3477718 4957598 6955436 8694295 9915196 12393995 13910872 17388590 19830392 24787990 34777180 49575980 69554360 99151960 116503553 233007106 466014212 582517765 932028424 1165035530 2330071060 4660142120