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98231120 = 24513293257
BaseRepresentation
bin1011101101011…
…10001101010000
320211211122202122
411312232031100
5200121343440
613425233412
72301644051
oct566561520
9224748678
1098231120
11504a3549
1228a92868
1317474630
14d090728
1589557b5
hex5dae350

98231120 has 80 divisors (see below), whose sum is σ = 254514960. Its totient is φ = 35008512.

The previous prime is 98231099. The next prime is 98231123. The reversal of 98231120 is 2113289.

It can be written as a sum of positive squares in 8 ways, for example, as 300304 + 97930816 = 548^2 + 9896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 98231120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98231123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28532 + ... + 31788.

It is an arithmetic number, because the mean of its divisors is an integer number (3181437).

Almost surely, 298231120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127257480).

98231120 is an abundant number, since it is smaller than the sum of its proper divisors (156283840).

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

98231120 is a wasteful number, since it uses less digits than its factorization.

98231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 98231120 is about 9911.1613850245. The cubic root of 98231120 is about 461.4057814058.

The spelling of 98231120 in words is "ninety-eight million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3257 3770 6032 6514 7540 13028 15080 16285 26056 30160 32570 42341 52112 65140 84682 94453 130280 169364 188906 211705 260560 338728 377812 423410 472265 677456 755624 846820 944530 1227889 1511248 1693640 1889060 2455778 3387280 3778120 4911556 6139445 7556240 9823112 12278890 19646224 24557780 49115560 98231120