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998424720 = 243257119531
BaseRepresentation
bin111011100000101…
…100000010010000
32120120201020020100
4323200230002100
54021044042340
6243023412400
733512320146
oct7340540220
92516636210
10998424720
114726482a7
1223a454100
1312bb08177
149685b596
155c9be830
hex3b82c090

998424720 has 120 divisors (see below), whose sum is σ = 3400443072. Its totient is φ = 262483200.

The previous prime is 998424703. The next prime is 998424751. The reversal of 998424720 is 27424899.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41355 + ... + 60885.

Almost surely, 2998424720 is an apocalyptic number.

998424720 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 998424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700221536).

998424720 is an abundant number, since it is smaller than the sum of its proper divisors (2402018352).

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

998424720 is a wasteful number, since it uses less digits than its factorization.

998424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19621 (or 19612 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 998424720 is about 31597.8594211697. The cubic root of 998424720 is about 999.4746307021.

The spelling of 998424720 in words is "nine hundred ninety-eight million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1420 1704 2130 2556 2840 3195 3408 4260 5112 5680 6390 8520 10224 12780 17040 19531 25560 39062 51120 58593 78124 97655 117186 156248 175779 195310 234372 292965 312496 351558 390620 468744 585930 703116 781240 878895 937488 1171860 1386701 1406232 1562480 1757790 2343720 2773402 2812464 3515580 4160103 4687440 5546804 6933505 7031160 8320206 11093608 12480309 13867010 14062320 16640412 20800515 22187216 24960618 27734020 33280824 41601030 49921236 55468040 62401545 66561648 83202060 99842472 110936080 124803090 166404120 199684944 249606180 332808240 499212360 998424720