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4380217140 = 22351310354521
BaseRepresentation
bin1000001010001010…
…01100111100110100
3102022021011002022110
410011011030330310
532432313422030
62002351131020
7213355142235
oct40505147464
912267132273
104380217140
111948577a72
12a22b13a70
1354a627680
142d7a4908c
151a982c1b0
hex10514cf34

4380217140 has 96 divisors (see below), whose sum is σ = 13336517376. Its totient is φ = 1067719680.

The previous prime is 4380217111. The next prime is 4380217141. The reversal of 4380217140 is 417120834.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4380217098 and 4380217107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4380217141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53080 + ... + 107600.

It is an arithmetic number, because the mean of its divisors is an integer number (138922056).

Almost surely, 24380217140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4380217140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668258688).

4380217140 is an abundant number, since it is smaller than the sum of its proper divisors (8956300236).

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

4380217140 is a wasteful number, since it uses less digits than its factorization.

4380217140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54649 (or 54647 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4380217140 is about 66183.2088977257. The cubic root of 4380217140 is about 1636.1830153557.

Adding to 4380217140 its reverse (417120834), we get a palindrome (4797337974).

The spelling of 4380217140 in words is "four billion, three hundred eighty million, two hundred seventeen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 103 130 156 195 206 260 309 390 412 515 618 780 1030 1236 1339 1545 2060 2678 3090 4017 5356 6180 6695 8034 13390 16068 20085 26780 40170 54521 80340 109042 163563 218084 272605 327126 545210 654252 708773 817815 1090420 1417546 1635630 2126319 2835092 3271260 3543865 4252638 5615663 7087730 8505276 10631595 11231326 14175460 16846989 21263190 22462652 28078315 33693978 42526380 56156630 67387956 73003619 84234945 112313260 146007238 168469890 219010857 292014476 336939780 365018095 438021714 730036190 876043428 1095054285 1460072380 2190108570 4380217140