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98687680 = 2657133389
BaseRepresentation
bin1011110000111…
…01101011000000
320212200212001021
411320131223000
5200231001210
613443115224
72305555120
oct570355300
9225625037
1098687680
1150785573
1229072b14
13175a43a0
14d16cc80
1589e5bda
hex5e1dac0

98687680 has 112 divisors (see below), whose sum is σ = 289316160. Its totient is φ = 31223808.

The previous prime is 98687647. The next prime is 98687681. The reversal of 98687680 is 8678689.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98687681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27426 + ... + 30814.

It is an arithmetic number, because the mean of its divisors is an integer number (2583180).

Almost surely, 298687680 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 98687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144658080).

98687680 is an abundant number, since it is smaller than the sum of its proper divisors (190628480).

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

98687680 is a wasteful number, since it uses less digits than its factorization.

98687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The square root of 98687680 is about 9934.1673027990. The cubic root of 98687680 is about 462.1195195608.

The spelling of 98687680 in words is "ninety-eight million, six hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3389 3640 4160 5824 6778 7280 13556 14560 16945 23723 27112 29120 33890 44057 47446 54224 67780 88114 94892 108448 118615 135560 176228 189784 216896 220285 237230 271120 308399 352456 379568 440570 474460 542240 616798 704912 759136 881140 948920 1084480 1233596 1409824 1518272 1541995 1762280 1897840 2467192 2819648 3083990 3524560 3795680 4934384 6167980 7049120 7591360 9868768 12335960 14098240 19737536 24671920 49343840 98687680