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2603422140 = 22351122717377
BaseRepresentation
bin1001101100101101…
…0001000110111100
320201102210112210020
42123023101012330
520312434002030
61110200212140
7121341503004
oct23313210674
96642715706
102603422140
111116622650
12607a6a050
133264a0797
141a9a93004
15103859510
hex9b2d11bc

2603422140 has 96 divisors (see below), whose sum is σ = 7987762944. Its totient is φ = 628316160.

The previous prime is 2603422139. The next prime is 2603422147. The reversal of 2603422140 is 412243062.

2603422140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2603422140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2603422147) 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, 141132 + ... + 158508.

It is an arithmetic number, because the mean of its divisors is an integer number (83205864).

Almost surely, 22603422140 is an apocalyptic number.

2603422140 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 2603422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993881472).

2603422140 is an abundant number, since it is smaller than the sum of its proper divisors (5384340804).

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

2603422140 is a wasteful number, since it uses less digits than its factorization.

2603422140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17627 (or 17625 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2603422140 is about 51023.7409447798. The cubic root of 2603422140 is about 1375.6718946551.

The spelling of 2603422140 in words is "two billion, six hundred three million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 227 330 454 660 681 908 1135 1362 2270 2497 2724 3405 4540 4994 6810 7491 9988 12485 13620 14982 17377 24970 29964 34754 37455 49940 52131 69508 74910 86885 104262 149820 173770 191147 208524 260655 347540 382294 521310 573441 764588 955735 1042620 1146882 1911470 2293764 2867205 3822940 3944579 5734410 7889158 11468820 11833737 15778316 19722895 23667474 39445790 43390369 47334948 59168685 78891580 86780738 118337370 130171107 173561476 216951845 236674740 260342214 433903690 520684428 650855535 867807380 1301711070 2603422140