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4380199920 = 243256083611
BaseRepresentation
bin1000001010001010…
…01000101111110000
3102022021010012200200
410011011020233300
532432312344140
62002350515200
7213355041105
oct40505105760
912267105620
104380199920
111948566038
12a22b05b00
1354a61c895
142d7a42aac
151a9827030
hex105148bf0

4380199920 has 60 divisors (see below), whose sum is σ = 14710173816. Its totient is φ = 1168053120.

The previous prime is 4380199883. The next prime is 4380199961. The reversal of 4380199920 is 299910834.

4380199920 is a `hidden beast` number, since 438 + 0 + 199 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3041086 + ... + 3042525.

Almost surely, 24380199920 is an apocalyptic number.

4380199920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4380199920 is an abundant number, since it is smaller than the sum of its proper divisors (10329973896).

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

4380199920 is a wasteful number, since it uses less digits than its factorization.

4380199920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6083630 (or 6083621 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 4380199920 is about 66183.0788041777. The cubic root of 4380199920 is about 1636.1808712376.

The spelling of 4380199920 in words is "four billion, three hundred eighty million, one hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6083611 12167222 18250833 24334444 30418055 36501666 48668888 54752499 60836110 73003332 91254165 97337776 109504998 121672220 146006664 182508330 219009996 243344440 273762495 292013328 365016660 438019992 486688880 547524990 730033320 876039984 1095049980 1460066640 2190099960 4380199920