Search a number
-
+
27197040 = 24351323379
BaseRepresentation
bin110011110111…
…1111001110000
31220011202022210
41213233321300
523430301130
62410532120
7450112443
oct147577160
956152283
1027197040
11143965a2
129137040
135833230
14387d65a
1525c35b0
hex19efe70

27197040 has 160 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 6386688.

The previous prime is 27197029. The next prime is 27197057. The reversal of 27197040 is 4079172.

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 = 27196989 and 27197007.

It is a congruent number.

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, 71571 + ... + 71949.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 227197040 is an apocalyptic number.

27197040 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 27197040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

27197040 is an abundant number, since it is smaller than the sum of its proper divisors (67796880).

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

27197040 is a wasteful number, since it uses less digits than its factorization.

27197040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 27197040 is about 5215.0781393954. The cubic root of 27197040 is about 300.7280096884.

The spelling of 27197040 in words is "twenty-seven million, one hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 39 40 46 48 52 60 65 69 78 80 92 104 115 120 130 138 156 184 195 208 230 240 260 276 299 312 345 368 379 390 460 520 552 598 624 690 758 780 897 920 1040 1104 1137 1196 1380 1495 1516 1560 1794 1840 1895 2274 2392 2760 2990 3032 3120 3588 3790 4485 4548 4784 4927 5520 5685 5980 6064 7176 7580 8717 8970 9096 9854 11370 11960 14352 14781 15160 17434 17940 18192 19708 22740 23920 24635 26151 29562 30320 34868 35880 39416 43585 45480 49270 52302 59124 69736 71760 73905 78832 87170 90960 98540 104604 113321 118248 130755 139472 147810 174340 197080 209208 226642 236496 261510 295620 339963 348680 394160 418416 453284 523020 566605 591240 679926 697360 906568 1046040 1133210 1182480 1359852 1699815 1813136 2092080 2266420 2719704 3399630 4532840 5439408 6799260 9065680 13598520 27197040