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2604422100 = 2235271772953
BaseRepresentation
bin1001101100111100…
…0101001111010100
320201111200100110210
42123033011033110
520313213001400
61110233445420
7121353136230
oct23317051724
96644610423
102604422100
111117145965
12608270870
13326760987
141a9c735c0
151039a5950
hex9b3c53d4

2604422100 has 144 divisors (see below), whose sum is σ = 9118666368. Its totient is φ = 560271360.

The previous prime is 2604422069. The next prime is 2604422113. The reversal of 2604422100 is 12244062.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 777 + ... + 72176.

It is an arithmetic number, because the mean of its divisors is an integer number (63324072).

Almost surely, 22604422100 is an apocalyptic number.

2604422100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559333184).

2604422100 is an abundant number, since it is smaller than the sum of its proper divisors (6514244268).

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

2604422100 is a wasteful number, since it uses less digits than its factorization.

2604422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72994 (or 72987 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2604422100 is about 51033.5389719349. The cubic root of 2604422100 is about 1375.8480014239.

Adding to 2604422100 its reverse (12244062), we get a palindrome (2616666162).

The spelling of 2604422100 in words is "two billion, six hundred four million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 72953 145906 218859 291812 364765 437718 510671 729530 875436 1021342 1094295 1240201 1459060 1532013 1823825 2042684 2188590 2480402 2553355 3064026 3647650 3720603 4377180 4960804 5106710 5471475 6128052 6201005 7295300 7441206 7660065 8681407 10213420 10942950 12402010 12766775 14882412 15320130 17362814 18603015 21885900 24804020 25533550 26044221 30640260 31005025 34725628 37206030 38300325 43407035 51067100 52088442 62010050 74412060 76600650 86814070 93015075 104176884 124020100 130221105 153201300 173628140 186030150 217035175 260442210 372060300 434070350 520884420 651105525 868140700 1302211050 2604422100