Search a number
-
+
98145840 = 24351383379
BaseRepresentation
bin1011101100110…
…01011000110000
320211200022210010
411312121120300
5200111131330
613423334520
72301140322
oct566313060
9224608703
1098145840
1150445471
1228a51440
1317444880
14d06b612
15893a3b0
hex5d99630

98145840 has 160 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 23804928.

The previous prime is 98145781. The next prime is 98145847. The reversal of 98145840 is 4854189.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (98145847) 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, 258771 + ... + 259149.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 298145840 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 98145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

98145840 is an abundant number, since it is smaller than the sum of its proper divisors (234332880).

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

98145840 is a wasteful number, since it uses less digits than its factorization.

98145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 98145840 is about 9906.8582305391. The cubic root of 98145840 is about 461.2722185814.

The spelling of 98145840 in words is "ninety-eight million, one hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 83 104 120 130 156 166 195 208 240 249 260 312 332 379 390 415 498 520 624 664 758 780 830 996 1040 1079 1137 1245 1328 1516 1560 1660 1895 1992 2158 2274 2490 3032 3120 3237 3320 3790 3984 4316 4548 4927 4980 5395 5685 6064 6474 6640 7580 8632 9096 9854 9960 10790 11370 12948 14781 15160 16185 17264 18192 19708 19920 21580 22740 24635 25896 29562 30320 31457 32370 39416 43160 45480 49270 51792 59124 62914 64740 73905 78832 86320 90960 94371 98540 118248 125828 129480 147810 157285 188742 197080 236496 251656 258960 295620 314570 377484 394160 408941 471855 503312 591240 629140 754968 817882 943710 1182480 1226823 1258280 1509936 1635764 1887420 2044705 2453646 2516560 3271528 3774840 4089410 4907292 6134115 6543056 7549680 8178820 9814584 12268230 16357640 19629168 24536460 32715280 49072920 98145840