Search a number
-
+
97614120 = 23356131327
BaseRepresentation
bin1011101000101…
…11100100101000
320210200022101210
411310113210220
5144442122440
613404113120
72263464162
oct564274450
9223608353
1097614120
1150111a2a
12288357a0
13172b9846
14cd6d932
158882a80
hex5d17928

97614120 has 64 divisors (see below), whose sum is σ = 293541120. Its totient is φ = 25968384.

The previous prime is 97614113. The next prime is 97614131. The reversal of 97614120 is 2141679.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72897 + ... + 74223.

It is an arithmetic number, because the mean of its divisors is an integer number (4586580).

Almost surely, 297614120 is an apocalyptic number.

It is an amenable number.

97614120 is an abundant number, since it is smaller than the sum of its proper divisors (195927000).

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

97614120 is a wasteful number, since it uses less digits than its factorization.

97614120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 97614120 is about 9879.9858299494. The cubic root of 97614120 is about 460.4377056194.

Adding to 97614120 its reverse (2141679), we get a palindrome (99755799).

Subtracting from 97614120 its reverse (2141679), we obtain a square (95472441 = 97712).

The spelling of 97614120 in words is "ninety-seven million, six hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 613 1226 1327 1839 2452 2654 3065 3678 3981 4904 5308 6130 6635 7356 7962 9195 10616 12260 13270 14712 15924 18390 19905 24520 26540 31848 36780 39810 53080 73560 79620 159240 813451 1626902 2440353 3253804 4067255 4880706 6507608 8134510 9761412 12201765 16269020 19522824 24403530 32538040 48807060 97614120