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4680067000 = 23537668581
BaseRepresentation
bin1000101101111010…
…00010011110111000
3110002011101000222211
410112331002132320
534041044121000
62052222024504
7223655625130
oct42675023670
913064330884
104680067000
111a91859674
12aa7418134
135977a201b
143257bdac0
151c5d0b7ba
hex116f427b8

4680067000 has 64 divisors (see below), whose sum is σ = 12515855040. Its totient is φ = 1604592000.

The previous prime is 4680066983. The next prime is 4680067013. The reversal of 4680067000 is 7600864.

It is a super-3 number, since 3×46800670003 (a number of 30 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 327291 + ... + 341290.

It is an arithmetic number, because the mean of its divisors is an integer number (195560235).

Almost surely, 24680067000 is an apocalyptic number.

4680067000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4680067000 is an abundant number, since it is smaller than the sum of its proper divisors (7835788040).

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

4680067000 is a wasteful number, since it uses less digits than its factorization.

4680067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668609 (or 668595 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 4680067000 is about 68411.0151949231. The cubic root of 4680067000 is about 1672.6973036426.

Adding to 4680067000 its reverse (7600864), we get a palindrome (4687667864).

The spelling of 4680067000 in words is "four billion, six hundred eighty million, sixty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 668581 1337162 2674324 3342905 4680067 5348648 6685810 9360134 13371620 16714525 18720268 23400335 26743240 33429050 37440536 46800670 66858100 83572625 93601340 117001675 133716200 167145250 187202680 234003350 334290500 468006700 585008375 668581000 936013400 1170016750 2340033500 4680067000