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2023542630 = 2325611971871
BaseRepresentation
bin111100010011100…
…1100111101100110
312020000122121122100
41320213030331212
513121011331010
6532443312530
7101100554124
oct17047147546
95200577570
102023542630
1194926758a
1248581b746
132632cb105
14152a66914
15bc9b32c0
hex789ccf66

2023542630 has 96 divisors (see below), whose sum is σ = 5377477248. Its totient is φ = 527788800.

The previous prime is 2023542613. The next prime is 2023542683. The reversal of 2023542630 is 362453202.

2023542630 is a `hidden beast` number, since 2 + 0 + 23 + 5 + 4 + 2 + 630 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2023542594 and 2023542603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080595 + ... + 1082465.

It is an arithmetic number, because the mean of its divisors is an integer number (56015388).

Almost surely, 22023542630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023542630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688738624).

2023542630 is an abundant number, since it is smaller than the sum of its proper divisors (3353934618).

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

2023542630 is a wasteful number, since it uses less digits than its factorization.

2023542630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2023542630 is about 44983.8040854706. The cubic root of 2023542630 is about 1264.8454205550.

Adding to 2023542630 its reverse (362453202), we get a palindrome (2385995832).

The spelling of 2023542630 in words is "two billion, twenty-three million, five hundred forty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 197 305 366 394 549 591 610 915 985 1098 1182 1773 1830 1871 1970 2745 2955 3546 3742 5490 5613 5910 8865 9355 11226 12017 16839 17730 18710 24034 28065 33678 36051 56130 60085 72102 84195 108153 114131 120170 168390 180255 216306 228262 342393 360510 368587 540765 570655 684786 737174 1027179 1081530 1105761 1141310 1711965 1842935 2054358 2211522 3317283 3423930 3685870 5135895 5528805 6634566 10271790 11057610 16586415 22483807 33172830 44967614 67451421 112419035 134902842 202354263 224838070 337257105 404708526 674514210 1011771315 2023542630