Search a number
-
+
98991990 = 23353111827
BaseRepresentation
bin1011110011001…
…11111101110110
320220021022111000
411321213331312
5200320220430
613453424130
72311263246
oct571477566
9226238430
1098991990
1150973169
122919b046
131767ca56
14d20bb26
158a55e60
hex5e67f76

98991990 has 64 divisors (see below), whose sum is σ = 272517120. Its totient is φ = 25544160.

The previous prime is 98991973. The next prime is 98992001. The reversal of 98991990 is 9919989.

98991990 = T226 + T227 + ... + T845.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2457 + ... + 14283.

It is an arithmetic number, because the mean of its divisors is an integer number (4258080).

Almost surely, 298991990 is an apocalyptic number.

98991990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98991990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136258560).

98991990 is an abundant number, since it is smaller than the sum of its proper divisors (173525130).

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

98991990 is a wasteful number, since it uses less digits than its factorization.

98991990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874 (or 11868 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 54.

The square root of 98991990 is about 9949.4718452790. The cubic root of 98991990 is about 462.5940242246.

The spelling of 98991990 in words is "ninety-eight million, nine hundred ninety-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 11827 23654 35481 59135 70962 106443 118270 177405 212886 319329 354810 366637 532215 638658 733274 1064430 1099911 1596645 1833185 2199822 3193290 3299733 3666370 5499555 6599466 9899199 10999110 16498665 19798398 32997330 49495995 98991990