Search a number
-
+
99442260 = 223251134889
BaseRepresentation
bin1011110110101…
…01111001010100
320221010012010200
411323111321110
5200424123020
613511220500
72315150061
oct573257124
9227105120
1099442260
1151150495
1229377730
13177a9998
14d2c7c68
158ae4590
hex5ed5e54

99442260 has 72 divisors (see below), whose sum is σ = 304373160. Its totient is φ = 26277888.

The previous prime is 99442253. The next prime is 99442283. The reversal of 99442260 is 6224499.

It can be written as a sum of positive squares in 4 ways, for example, as 956484 + 98485776 = 978^2 + 9924^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17896 + ... + 22784.

It is an arithmetic number, because the mean of its divisors is an integer number (4227405).

Almost surely, 299442260 is an apocalyptic number.

99442260 is a gapful number since it is divisible by the number (90) 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 99442260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152186580).

99442260 is an abundant number, since it is smaller than the sum of its proper divisors (204930900).

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

99442260 is a wasteful number, since it uses less digits than its factorization.

99442260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 99442260 is about 9972.0740069456. The cubic root of 99442260 is about 463.2943408117.

The spelling of 99442260 in words is "ninety-nine million, four hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 4889 5085 6780 9778 10170 14667 19556 20340 24445 29334 44001 48890 58668 73335 88002 97780 146670 176004 220005 293340 440010 552457 880020 1104914 1657371 2209828 2762285 3314742 4972113 5524570 6629484 8286855 9944226 11049140 16573710 19888452 24860565 33147420 49721130 99442260