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98041680 = 243251112379
BaseRepresentation
bin1011101011111…
…11111101010000
320211111000220100
411311333331100
5200044313210
613421212400
72300224542
oct565777520
9224430810
1098041680
1150384190
1228a01100
1317409339
14d041692
1589195c0
hex5d7ff50

98041680 has 120 divisors (see below), whose sum is σ = 359218080. Its totient is φ = 23765760.

The previous prime is 98041661. The next prime is 98041687. The reversal of 98041680 is 8614089.

It is a happy number.

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

It is a super-2 number, since 2×980416802 = 19224342034444800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98041687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1731 + ... + 14109.

It is an arithmetic number, because the mean of its divisors is an integer number (2993484).

Almost surely, 298041680 is an apocalyptic number.

98041680 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 98041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179609040).

98041680 is an abundant number, since it is smaller than the sum of its proper divisors (261176400).

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

98041680 is a wasteful number, since it uses less digits than its factorization.

98041680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12409 (or 12400 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 98041680 is about 9901.5998707280. The cubic root of 98041680 is about 461.1089815012.

The spelling of 98041680 in words is "ninety-eight million, forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 12379 24758 37137 49516 61895 74274 99032 111411 123790 136169 148548 185685 198064 222822 247580 272338 297096 371370 408507 445644 495160 544676 557055 594192 680845 742740 817014 891288 990320 1089352 1114110 1225521 1361690 1485480 1634028 1782576 2042535 2178704 2228220 2451042 2723380 2970960 3268056 4085070 4456440 4902084 5446760 6127605 6536112 8170140 8912880 9804168 10893520 12255210 16340280 19608336 24510420 32680560 49020840 98041680