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98341920 = 25325312203
BaseRepresentation
bin1011101110010…
…01010000100000
320212001021202100
411313021100200
5200133420140
613431450400
72302615065
oct567112040
9225037670
1098341920
1150569816
1228b26a00
13174b2bb1
14d0bcc6c
158978530
hex5dc9420

98341920 has 144 divisors (see below), whose sum is σ = 346574592. Its totient is φ = 25367040.

The previous prime is 98341913. The next prime is 98341931. The reversal of 98341920 is 2914389.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×983419202 = 19342266458572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 43539 + ... + 45741.

It is an arithmetic number, because the mean of its divisors is an integer number (2406768).

Almost surely, 298341920 is an apocalyptic number.

98341920 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 98341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173287296).

98341920 is an abundant number, since it is smaller than the sum of its proper divisors (248232672).

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

98341920 is a wasteful number, since it uses less digits than its factorization.

98341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 98341920 is about 9916.7494674414. The cubic root of 98341920 is about 461.5791974301.

The spelling of 98341920 in words is "ninety-eight million, three hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2203 2232 2480 2790 2976 3720 4406 4464 4960 5580 6609 7440 8812 8928 11015 11160 13218 14880 17624 19827 22030 22320 26436 33045 35248 39654 44060 44640 52872 66090 68293 70496 79308 88120 99135 105744 132180 136586 158616 176240 198270 204879 211488 264360 273172 317232 341465 352480 396540 409758 528720 546344 614637 634464 682930 793080 819516 1024395 1057440 1092688 1229274 1365860 1586160 1639032 2048790 2185376 2458548 2731720 3073185 3172320 3278064 4097580 4917096 5463440 6146370 6556128 8195160 9834192 10926880 12292740 16390320 19668384 24585480 32780640 49170960 98341920