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4126800420 = 223357996737
BaseRepresentation
bin1111010111111001…
…1111101000100100
3101122121022011221000
43311332133220210
531422430103140
61521255353300
7204160140051
oct36576375044
911577264830
104126800420
111828520266
12972082830
13509c89a52
142b2120028
15192470a30
hexf5f9fa24

4126800420 has 96 divisors (see below), whose sum is σ = 13001587200. Its totient is φ = 1086538752.

The previous prime is 4126800397. The next prime is 4126800481. The reversal of 4126800420 is 240086214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5709 + ... + 91028.

It is an arithmetic number, because the mean of its divisors is an integer number (135433200).

Almost surely, 24126800420 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 4126800420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500793600).

4126800420 is an abundant number, since it is smaller than the sum of its proper divisors (8874786780).

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

4126800420 is a wasteful number, since it uses less digits than its factorization.

4126800420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96834 (or 96826 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4126800420 is about 64240.1776149475. The cubic root of 4126800420 is about 1604.0004607142. Note that the first 3 decimals are identical.

Adding to 4126800420 its reverse (240086214), we get a palindrome (4366886634).

It can be divided in two parts, 4126 and 800420, that added together give a triangular number (804546 = T1268).

The spelling of 4126800420 in words is "four billion, one hundred twenty-six million, eight hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1185 1422 1580 2133 2370 2844 3555 4266 4740 7110 8532 10665 14220 21330 42660 96737 193474 290211 386948 483685 580422 870633 967370 1160844 1451055 1741266 1934740 2611899 2902110 3482532 4353165 5223798 5804220 7642223 8706330 10447596 13059495 15284446 17412660 22926669 26118990 30568892 38211115 45853338 52237980 68780007 76422230 91706676 114633345 137560014 152844460 206340021 229266690 275120028 343900035 412680042 458533380 687800070 825360084 1031700105 1375600140 2063400210 4126800420