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2073631428 = 2234112920063
BaseRepresentation
bin111101110011001…
…0001101011000100
312100111220101120000
41323212101223010
513221322201203
6541433041300
7102246401451
oct17346215304
95314811500
102073631428
11974568a90
1249a556230
132707b7a5b
14159584828
15c20a94a3
hex7b991ac4

2073631428 has 120 divisors (see below), whose sum is σ = 6117914880. Its totient is φ = 606674880.

The previous prime is 2073631409. The next prime is 2073631451. The reversal of 2073631428 is 8241363702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2073631392 and 2073631401.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93325 + ... + 113387.

It is an arithmetic number, because the mean of its divisors is an integer number (50982624).

Almost surely, 22073631428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073631428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058957440).

2073631428 is an abundant number, since it is smaller than the sum of its proper divisors (4044283452).

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

2073631428 is a wasteful number, since it uses less digits than its factorization.

2073631428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20119 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2073631428 is about 45537.1433886668. The cubic root of 2073631428 is about 1275.1967253542.

The spelling of 2073631428 in words is "two billion, seventy-three million, six hundred thirty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 261 297 319 324 348 396 522 594 638 783 891 957 1044 1188 1276 1566 1782 1914 2349 2871 3132 3564 3828 4698 5742 8613 9396 11484 17226 20063 25839 34452 40126 51678 60189 80252 103356 120378 180567 220693 240756 361134 441386 541701 581827 662079 722268 882772 1083402 1163654 1324158 1625103 1745481 1986237 2166804 2327308 2648316 3250206 3490962 3972474 5236443 5958711 6400097 6500412 6981924 7944948 10472886 11917422 12800194 15709329 17876133 19200291 20945772 23834844 25600388 31418658 35752266 38400582 47127987 57600873 62837316 71504532 76801164 94255974 115201746 172802619 188511948 230403492 345605238 518407857 691210476 1036815714 2073631428