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98798920 = 235112137149
BaseRepresentation
bin1011110001110…
…00110101001000
320212220111122021
411320320311020
5200243031140
613445334224
72306530333
oct570706510
9225814567
1098798920
1150851100
1229107374
1317612bcc
14d19b61a
158a18b4a
hex5e38d48

98798920 has 96 divisors (see below), whose sum is σ = 247779000. Its totient is φ = 35425280.

The previous prime is 98798899. The next prime is 98798941. The reversal of 98798920 is 2989789.

It is an interprime number because it is at equal distance from previous prime (98798899) and next prime (98798941).

It can be written as a sum of positive squares in 4 ways, for example, as 63776196 + 35022724 = 7986^2 + 5918^2 .

It is a super-2 number, since 2×987989202 = 19522453186332800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 663006 + ... + 663154.

Almost surely, 298798920 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 98798920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123889500).

98798920 is an abundant number, since it is smaller than the sum of its proper divisors (148980080).

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

98798920 is a wasteful number, since it uses less digits than its factorization.

98798920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The square root of 98798920 is about 9939.7645847374. The cubic root of 98798920 is about 462.2930868948.

The spelling of 98798920 in words is "ninety-eight million, seven hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 137 149 220 242 274 298 440 484 548 596 605 685 745 968 1096 1192 1210 1370 1490 1507 1639 2420 2740 2980 3014 3278 4840 5480 5960 6028 6556 7535 8195 12056 13112 15070 16390 16577 18029 20413 30140 32780 33154 36058 40826 60280 65560 66308 72116 81652 82885 90145 102065 132616 144232 163304 165770 180290 204130 224543 331540 360580 408260 449086 663080 721160 816520 898172 1122715 1796344 2245430 2469973 4490860 4939946 8981720 9879892 12349865 19759784 24699730 49399460 98798920