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98004690 = 23257732131
BaseRepresentation
bin1011101011101…
…10111011010010
320211102011011100
411311312323102
5200042122230
613420325230
72300011650
oct565667322
9224364140
1098004690
1150359413
12289a3816
13173c5554
14d031dd0
15890d660
hex5d76ed2

98004690 has 96 divisors (see below), whose sum is σ = 295341696. Its totient is φ = 22083840.

The previous prime is 98004667. The next prime is 98004713. The reversal of 98004690 is 9640089.

It is an interprime number because it is at equal distance from previous prime (98004667) and next prime (98004713).

It is a super-2 number, since 2×980046902 = 19209838523992200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44925 + ... + 47055.

It is an arithmetic number, because the mean of its divisors is an integer number (3076476).

Almost surely, 298004690 is an apocalyptic number.

98004690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98004690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147670848).

98004690 is an abundant number, since it is smaller than the sum of its proper divisors (197337006).

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

98004690 is a wasteful number, since it uses less digits than its factorization.

98004690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2221 counting only the distinct ones).

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

The square root of 98004690 is about 9899.7318145493. The cubic root of 98004690 is about 461.0509838321.

The spelling of 98004690 in words is "ninety-eight million, four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 73 90 105 126 146 210 219 315 365 438 511 630 657 730 1022 1095 1314 1533 2131 2190 2555 3066 3285 4262 4599 5110 6393 6570 7665 9198 10655 12786 14917 15330 19179 21310 22995 29834 31965 38358 44751 45990 63930 74585 89502 95895 134253 149170 155563 191790 223755 268506 311126 447510 466689 671265 777815 933378 1088941 1342530 1400067 1555630 2177882 2333445 2800134 3266823 4666890 5444705 6533646 7000335 9800469 10889410 14000670 16334115 19600938 32668230 49002345 98004690