Search a number
-
+
27640003620 = 22353114999733
BaseRepresentation
bin11001101111011110…
…001111110000100100
32122100021112122221210
4121233132033300210
5423101320103440
620410405111420
71665642103635
oct315736176044
978307478853
1027640003620
11107a40748a9
1254346b8570
1327b6474838
1414a2c3d88c
15abb855a80
hex66f78fc24

27640003620 has 96 divisors (see below), whose sum is σ = 80425497600. Its totient is φ = 7084961280.

The previous prime is 27640003619. The next prime is 27640003649. The reversal of 27640003620 is 2630004672.

It is a super-2 number, since 2×276400036202 (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227274 + ... + 327006.

It is an arithmetic number, because the mean of its divisors is an integer number (837765600).

Almost surely, 227640003620 is an apocalyptic number.

27640003620 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 27640003620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40212748800).

27640003620 is an abundant number, since it is smaller than the sum of its proper divisors (52785493980).

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

27640003620 is a wasteful number, since it uses less digits than its factorization.

27640003620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99925 (or 99923 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 27640003620 in words is "twenty-seven billion, six hundred forty million, three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 149 155 186 298 310 372 447 465 596 620 745 894 930 1490 1788 1860 2235 2980 4470 4619 8940 9238 13857 18476 23095 27714 46190 55428 69285 92380 99733 138570 199466 277140 299199 398932 498665 598398 997330 1196796 1495995 1994660 2991990 3091723 5983980 6183446 9275169 12366892 14860217 15458615 18550338 29720434 30917230 37100676 44580651 46375845 59440868 61834460 74301085 89161302 92751690 148602170 178322604 185503380 222903255 297204340 445806510 460666727 891613020 921333454 1382000181 1842666908 2303333635 2764000362 4606667270 5528000724 6910000905 9213334540 13820001810 27640003620