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4140230420 = 2253179137617
BaseRepresentation
bin1111011011000110…
…1110011100010100
3101200112120111102102
43312301232130110
531434344333140
61522455301232
7204412243424
oct36661563424
911615514372
104140230420
111835063437
1297667a818
1350c9ac8b1
142b3c18484
15193724e15
hexf6c6e714

4140230420 has 96 divisors (see below), whose sum is σ = 9169735680. Its totient is φ = 1568286720.

The previous prime is 4140230411. The next prime is 4140230429. The reversal of 4140230420 is 240320414.

It is an interprime number because it is at equal distance from previous prime (4140230411) and next prime (4140230429).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4140230392 and 4140230401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140230429) 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, 6709952 + ... + 6710568.

It is an arithmetic number, because the mean of its divisors is an integer number (95518080).

Almost surely, 24140230420 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 4140230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584867840).

4140230420 is an abundant number, since it is smaller than the sum of its proper divisors (5029505260).

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

4140230420 is a wasteful number, since it uses less digits than its factorization.

4140230420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4140230420 is about 64344.6223083173. The cubic root of 4140230420 is about 1605.7385627256.

Adding to 4140230420 its reverse (240320414), we get a palindrome (4380550834).

The spelling of 4140230420 in words is "four billion, one hundred forty million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 79 124 137 155 158 274 310 316 395 548 617 620 685 790 1234 1370 1580 2449 2468 2740 3085 4247 4898 6170 8494 9796 10823 12245 12340 16988 19127 21235 21646 24490 38254 42470 43292 48743 48980 54115 76508 84529 84940 95635 97486 108230 169058 191270 194972 216460 243715 335513 338116 382540 422645 487430 671026 845290 974860 1342052 1511033 1677565 1690580 2620399 3022066 3355130 5240798 6044132 6677791 6710260 7555165 10481596 13101995 13355582 15110330 26203990 26711164 30220660 33388955 52407980 66777910 133555820 207011521 414023042 828046084 1035057605 2070115210 4140230420