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98123340 = 22357307761
BaseRepresentation
bin1011101100100…
…11111001001100
320211122011220210
411312103321030
5200104421330
613423042420
72301014610
oct566237114
9224564823
1098123340
115042a577
1228a40410
1317437563
14d063340
1589338b0
hex5d93e4c

98123340 has 96 divisors (see below), whose sum is σ = 315431424. Its totient is φ = 22325760.

The previous prime is 98123329. The next prime is 98123369. The reversal of 98123340 is 4332189.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 98123298 and 98123307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128560 + ... + 129320.

It is an arithmetic number, because the mean of its divisors is an integer number (3285744).

Almost surely, 298123340 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 98123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157715712).

98123340 is an abundant number, since it is smaller than the sum of its proper divisors (217308084).

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

98123340 is a wasteful number, since it uses less digits than its factorization.

98123340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 98123340 is about 9905.7225884839. The cubic root of 98123340 is about 461.2369668984.

The spelling of 98123340 in words is "ninety-eight million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 307 420 614 761 921 1228 1522 1535 1842 2149 2283 3044 3070 3684 3805 4298 4566 4605 5327 6140 6447 7610 8596 9132 9210 10654 10745 11415 12894 15220 15981 18420 21308 21490 22830 25788 26635 31962 32235 42980 45660 53270 63924 64470 79905 106540 128940 159810 233627 319620 467254 700881 934508 1168135 1401762 1635389 2336270 2803524 3270778 3504405 4672540 4906167 6541556 7008810 8176945 9812334 14017620 16353890 19624668 24530835 32707780 49061670 98123340