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98996700 = 2235211131229
BaseRepresentation
bin1011110011010…
…01000111011100
320220021112221110
411321221013130
5200320343300
613453502020
72311313055
oct571510734
9226245843
1098996700
1150976760
12291a1910
1317681c3a
14d20d72c
158a57550
hex5e691dc

98996700 has 144 divisors (see below), whose sum is σ = 316229760. Its totient is φ = 23712000.

The previous prime is 98996641. The next prime is 98996713. The reversal of 98996700 is 769989.

It is a happy number.

It is a super-2 number, since 2×989967002 = 19600693221780000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 98996700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432186 + ... + 432414.

It is an arithmetic number, because the mean of its divisors is an integer number (2196040).

Almost surely, 298996700 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 98996700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158114880).

98996700 is an abundant number, since it is smaller than the sum of its proper divisors (217233060).

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

98996700 is a wasteful number, since it uses less digits than its factorization.

98996700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 98996700 is about 9949.7085384447. The cubic root of 98996700 is about 462.6013607889.

The spelling of 98996700 in words is "ninety-eight million, nine hundred ninety-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 131 132 150 165 220 229 262 275 300 330 393 458 524 550 655 660 687 786 825 916 1100 1145 1310 1374 1441 1572 1650 1965 2290 2519 2620 2748 2882 3275 3300 3435 3930 4323 4580 5038 5725 5764 6550 6870 7205 7557 7860 8646 9825 10076 11450 12595 13100 13740 14410 15114 17175 17292 19650 21615 22900 25190 28820 29999 30228 34350 36025 37785 39300 43230 50380 59998 62975 68700 72050 75570 86460 89997 108075 119996 125950 144100 149995 151140 179994 188925 216150 251900 299990 329989 359988 377850 432300 449985 599980 659978 749975 755700 899970 989967 1319956 1499950 1649945 1799940 1979934 2249925 2999900 3299890 3959868 4499850 4949835 6599780 8249725 8999700 9899670 16499450 19799340 24749175 32998900 49498350 98996700