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2054403210 = 235292107761
BaseRepresentation
bin111101001110011…
…1011010010001010
312022011201111101210
41322130323102022
513201411400320
6535504553550
7101624065506
oct17234732212
95264644353
102054403210
119647255a2
124940228b6
13269814a02
14156bbb306
15c055c0e0
hex7a73b48a

2054403210 has 96 divisors (see below), whose sum is σ = 5160946752. Its totient is φ = 523317760.

The previous prime is 2054403163. The next prime is 2054403223. The reversal of 2054403210 is 123044502.

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, 2699230 + ... + 2699990.

It is an arithmetic number, because the mean of its divisors is an integer number (53759862).

Almost surely, 22054403210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054403210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580473376).

2054403210 is an abundant number, since it is smaller than the sum of its proper divisors (3106543542).

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

2054403210 is a wasteful number, since it uses less digits than its factorization.

2054403210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2054403210 is about 45325.5249280138. The cubic root of 2054403210 is about 1271.2429623246.

Adding to 2054403210 its reverse (123044502), we get a palindrome (2177447712).

It can be divided in two parts, 205440 and 3210, that multiplied together give a square (659462400 = 256802).

The spelling of 2054403210 in words is "two billion, fifty-four million, four hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 107 145 174 214 290 321 435 535 642 761 841 870 1070 1522 1605 1682 2283 2523 3103 3210 3805 4205 4566 5046 6206 7610 8410 9309 11415 12615 15515 18618 22069 22830 25230 31030 44138 46545 66207 81427 89987 93090 110345 132414 162854 179974 220690 244281 269961 331035 407135 449935 488562 539922 640001 662070 814270 899870 1221405 1280002 1349805 1920003 2361383 2442810 2699610 3200005 3840006 4722766 6400010 7084149 9600015 11806915 14168298 19200030 23613830 35420745 68480107 70841490 136960214 205440321 342400535 410880642 684801070 1027201605 2054403210