Search a number
-
+
2620530045 = 3257229107383
BaseRepresentation
bin1001110000110010…
…0001110101111101
320202121222201102100
42130030201311331
520331323430140
61112011015313
7121640065200
oct23414416575
96677881370
102620530045
111125248011
1261173a539
13329bb06c3
141ac067937
151050d8530
hex9c321d7d

2620530045 has 144 divisors (see below), whose sum is σ = 5531535360. Its totient is φ = 1142846208.

The previous prime is 2620530043. The next prime is 2620530061. The reversal of 2620530045 is 5400350262.

2620530045 is a `hidden beast` number, since 2 + 620 + 5 + 30 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 2620530045 - 21 = 2620530043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2620530041) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 6841924 + ... + 6842306.

It is an arithmetic number, because the mean of its divisors is an integer number (38413440).

Almost surely, 22620530045 is an apocalyptic number.

It is an amenable number.

2620530045 is an abundant number, since it is smaller than the sum of its proper divisors (2911005315).

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

2620530045 is a wasteful number, since it uses less digits than its factorization.

2620530045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2620530045 is about 51191.1129494173. The cubic root of 2620530045 is about 1378.6786422537.

The spelling of 2620530045 in words is "two billion, six hundred twenty million, five hundred thirty thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 49 63 87 105 107 145 147 203 245 261 315 321 383 435 441 535 609 735 749 963 1015 1149 1305 1421 1605 1827 1915 2205 2247 2681 3045 3103 3447 3745 4263 4815 5243 5745 6741 7105 8043 9135 9309 11107 11235 12789 13405 15515 15729 17235 18767 21315 21721 24129 26215 27927 33321 33705 40215 40981 46545 47187 55535 56301 63945 65163 77749 78645 93835 99963 108605 120645 122943 139635 152047 166605 168903 195489 204905 233247 235935 281505 286867 325815 368829 388745 456141 499815 544243 614715 699741 760235 844515 860601 977445 1166235 1188449 1368423 1434335 1632729 1844145 2008069 2280705 2581803 2721215 3498705 3565347 4303005 4898187 5942245 6024207 6842115 8163645 8319143 10040345 10696041 12909015 17826735 18072621 24490935 24957429 30121035 41595715 53480205 58234001 74872287 90363105 124787145 174702003 291170005 374361435 524106009 873510015 2620530045