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27900026040 = 23353141182927
BaseRepresentation
bin11001111110111110…
…001001110010111000
32200000101211011122210
4121332332021302320
5424114401313130
620452254215120
72005250210535
oct317676116270
980011734583
1027900026040
1110917923567
1254a77b44a0
1328282b6063
1414c95a7d8c
15ad45b95b0
hex67ef89cb8

27900026040 has 128 divisors (see below), whose sum is σ = 88507883520. Its totient is φ = 7024358400.

The previous prime is 27900026029. The next prime is 27900026041. The reversal of 27900026040 is 4062000972.

It is a happy number.

It is a super-2 number, since 2×279000260402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27900025989 and 27900026007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27900026041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61057 + ... + 243983.

It is an arithmetic number, because the mean of its divisors is an integer number (691467840).

Almost surely, 227900026040 is an apocalyptic number.

27900026040 is a gapful number since it is divisible by the number (20) 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 27900026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44253941760).

27900026040 is an abundant number, since it is smaller than the sum of its proper divisors (60607857480).

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

27900026040 is a wasteful number, since it uses less digits than its factorization.

27900026040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183013 (or 183009 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 27900026040 in words is "twenty-seven billion, nine hundred million, twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 41 60 62 82 93 120 123 124 155 164 186 205 246 248 310 328 372 410 465 492 615 620 744 820 930 984 1230 1240 1271 1640 1860 2460 2542 3720 3813 4920 5084 6355 7626 10168 12710 15252 19065 25420 30504 38130 50840 76260 152520 182927 365854 548781 731708 914635 1097562 1463416 1829270 2195124 2743905 3658540 4390248 5487810 5670737 7317080 7500007 10975620 11341474 15000014 17012211 21951240 22500021 22682948 28353685 30000028 34024422 37500035 45000042 45365896 56707370 60000056 68048844 75000070 85061055 90000084 112500105 113414740 136097688 150000140 170122110 180000168 225000210 226829480 232500217 300000280 340244220 450000420 465000434 680488440 697500651 900000840 930000868 1162501085 1395001302 1860001736 2325002170 2790002604 3487503255 4650004340 5580005208 6975006510 9300008680 13950013020 27900026040