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980123625 = 33531389251
BaseRepresentation
bin111010011010110…
…111111111101001
32112022021102212000
4322122313333221
54001402424000
6241131241213
733200625165
oct7232677751
92468242760
10980123625
11463288428
122342a9209
1312809b110
1494255ca5
155b0a7000
hex3a6b7fe9

980123625 has 128 divisors (see below), whose sum is σ = 1981324800. Its totient is φ = 475200000.

The previous prime is 980123603. The next prime is 980123663. The reversal of 980123625 is 526321089.

980123625 is a `hidden beast` number, since 9 + 8 + 0 + 1 + 23 + 625 = 666.

It is not a de Polignac number, because 980123625 - 26 = 980123561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 980123625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3904750 + ... + 3905000.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2980123625 is an apocalyptic number.

It is an amenable number.

980123625 is an abundant number, since it is smaller than the sum of its proper divisors (1001201175).

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

980123625 is a wasteful number, since it uses less digits than its factorization.

980123625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 980123625 is about 31306.9261506140. The cubic root of 980123625 is about 993.3301537241.

The spelling of 980123625 in words is "nine hundred eighty million, one hundred twenty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 89 117 125 135 195 225 251 267 325 351 375 445 585 675 753 801 975 1125 1157 1255 1335 1625 1755 2225 2259 2403 2925 3263 3375 3471 3765 4005 4875 5785 6275 6675 6777 8775 9789 10413 11125 11295 12015 14625 16315 17355 18825 20025 22339 28925 29367 31239 31375 33375 33885 43875 48945 52065 56475 60075 67017 81575 86775 88101 94125 100125 111695 144625 146835 156195 169425 201051 244725 260325 282375 290407 300375 335085 407875 433875 440505 558475 603153 734175 780975 847125 871221 1005255 1223625 1301625 1452035 1675425 2202525 2613663 2792375 3015765 3670875 3904875 4356105 5026275 7260175 7840989 8377125 11012625 13068315 15078825 21780525 25131375 36300875 39204945 65341575 75394125 108902625 196024725 326707875 980123625