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1625106340 = 22511134113859
BaseRepresentation
bin110000011011101…
…0010011110100100
311012020220221210201
41200313102132210
511312011400330
6425131400244
755162114234
oct14067223644
94166827721
101625106340
1176436a4a0
123942b3084
131cb8b64b0
14115b8bcc4
1597a0ceca
hex60dd27a4

1625106340 has 96 divisors (see below), whose sum is σ = 4107438720. Its totient is φ = 532147200.

The previous prime is 1625106337. The next prime is 1625106359. The reversal of 1625106340 is 436015261.

It is a super-5 number, since 5×16251063405 (a number of 47 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1625106299 and 1625106308.

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, 110331 + ... + 124189.

It is an arithmetic number, because the mean of its divisors is an integer number (42785820).

Almost surely, 21625106340 is an apocalyptic number.

1625106340 is a gapful number since it is divisible by the number (10) 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 1625106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053719360).

1625106340 is an abundant number, since it is smaller than the sum of its proper divisors (2482332380).

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

1625106340 is a wasteful number, since it uses less digits than its factorization.

1625106340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1625106340 is about 40312.6077052825. The cubic root of 1625106340 is about 1175.6929885247.

The spelling of 1625106340 in words is "one billion, six hundred twenty-five million, one hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 41 44 52 55 65 82 110 130 143 164 205 220 260 286 410 451 533 572 715 820 902 1066 1430 1804 2132 2255 2665 2860 4510 5330 5863 9020 10660 11726 13859 23452 27718 29315 55436 58630 69295 117260 138590 152449 180167 277180 304898 360334 568219 609796 720668 762245 900835 1136438 1524490 1801670 1981837 2272876 2841095 3048980 3603340 3963674 5682190 6250409 7386847 7927348 9909185 11364380 12500818 14773694 19818370 25001636 29547388 31252045 36934235 39636740 62504090 73868470 81255317 125008180 147736940 162510634 325021268 406276585 812553170 1625106340