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7128252040 = 23571319103069
BaseRepresentation
bin1101010001110000…
…00111111010001000
3200101210001201111211
412220320013322020
5104044313031130
63135155102504
7341434066630
oct65070077210
920353051454
107128252040
113028792298
12146b2a1a34
13897a5bc20
144b89c36c0
152babeea2a
hex1a8e07e88

7128252040 has 128 divisors (see below), whose sum is σ = 20778912000. Its totient is φ = 2137218048.

The previous prime is 7128251993. The next prime is 7128252067. The reversal of 7128252040 is 402528217.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7128251993 and 7128252011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17626 + ... + 120694.

It is an arithmetic number, because the mean of its divisors is an integer number (162335250).

Almost surely, 27128252040 is an apocalyptic number.

7128252040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7128252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389456000).

7128252040 is an abundant number, since it is smaller than the sum of its proper divisors (13650659960).

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

7128252040 is a wasteful number, since it uses less digits than its factorization.

7128252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103119 (or 103115 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 7128252040 is about 84428.9763055315. The cubic root of 7128252040 is about 1924.5432808657.

The spelling of 7128252040 in words is "seven billion, one hundred twenty-eight million, two hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 17290 34580 69160 103069 206138 412276 515345 721483 824552 1030690 1339897 1442966 1958311 2061380 2679794 2885932 3607415 3916622 4122760 5359588 5771864 6699485 7214830 7833244 9379279 9791555 10719176 13398970 13708177 14429660 15666488 18758558 19583110 25458043 26797940 27416354 28859320 37517116 39166220 46896395 50916086 53595880 54832708 68540885 75034232 78332440 93792790 101832172 109665416 127290215 137081770 178206301 187585580 203664344 254580430 274163540 356412602 375171160 509160860 548327080 712825204 891031505 1018321720 1425650408 1782063010 3564126020 7128252040