Search a number
-
+
27997680 = 2435116657
BaseRepresentation
bin110101011001…
…1010111110000
31221200102121010
41222303113300
524131411210
62440030520
7456655614
oct152632760
957612533
1027997680
1114893087
129462440
135a53799
143a0b344
1526d0920
hex1ab35f0

27997680 has 40 divisors (see below), whose sum is σ = 86793552. Its totient is φ = 7465984.

The previous prime is 27997663. The next prime is 27997699. The reversal of 27997680 is 8679972.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58089 + ... + 58568.

Almost surely, 227997680 is an apocalyptic number.

27997680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27997680 is an abundant number, since it is smaller than the sum of its proper divisors (58795872).

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

27997680 is a wasteful number, since it uses less digits than its factorization.

27997680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116673 (or 116667 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 27997680 is about 5291.2833981937. The cubic root of 27997680 is about 303.6505101864.

The spelling of 27997680 in words is "twenty-seven million, nine hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 116657 233314 349971 466628 583285 699942 933256 1166570 1399884 1749855 1866512 2333140 2799768 3499710 4666280 5599536 6999420 9332560 13998840 27997680