Search a number
-
+
97097154 = 23711732879
BaseRepresentation
bin1011100100110…
…01010111000010
320202201001020220
411302121113002
5144324102104
613345043510
72256212040
oct562312702
9222631226
1097097154
114a899590
1228626596
131716844b
14cc77390
1587ce7d9
hex5c995c2

97097154 has 64 divisors (see below), whose sum is σ = 245514240. Its totient is φ = 24865920.

The previous prime is 97097153. The next prime is 97097167. The reversal of 97097154 is 45179079.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (97097153) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32287 + ... + 35165.

It is an arithmetic number, because the mean of its divisors is an integer number (3836160).

Almost surely, 297097154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97097154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122757120).

97097154 is an abundant number, since it is smaller than the sum of its proper divisors (148417086).

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

97097154 is a wasteful number, since it uses less digits than its factorization.

97097154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975.

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 97097154 is about 9853.7888144612. The cubic root of 97097154 is about 459.6234378871.

The spelling of 97097154 in words is "ninety-seven million, ninety-seven thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 73 77 146 154 219 231 438 462 511 803 1022 1533 1606 2409 2879 3066 4818 5621 5758 8637 11242 16863 17274 20153 31669 33726 40306 60459 63338 95007 120918 190014 210167 221683 420334 443366 630501 665049 1261002 1330098 1471169 2311837 2942338 4413507 4623674 6935511 8827014 13871022 16182859 32365718 48548577 97097154