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98032680 = 2334579383
BaseRepresentation
bin1011101011111…
…01110000101000
320211110120120000
411311331300220
5200044021210
613421103000
72300156364
oct565756050
9224416500
1098032680
1150378449
12289b7a60
1317405205
14d03c2a4
158916ac0
hex5d7dc28

98032680 has 160 divisors (see below), whose sum is σ = 334540800. Its totient is φ = 25743744.

The previous prime is 98032667. The next prime is 98032687. The reversal of 98032680 is 8623089.

It is a super-2 number, since 2×980326802 = 19220812695964800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98032687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 255769 + ... + 256151.

It is an arithmetic number, because the mean of its divisors is an integer number (2090880).

Almost surely, 298032680 is an apocalyptic number.

98032680 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 98032680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

98032680 is an abundant number, since it is smaller than the sum of its proper divisors (236508120).

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

98032680 is a wasteful number, since it uses less digits than its factorization.

98032680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 98032680 is about 9901.1453882872. The cubic root of 98032680 is about 461.0948714893.

The spelling of 98032680 in words is "ninety-eight million, thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 79 81 90 108 120 135 158 162 180 216 237 270 316 324 360 383 395 405 474 540 632 648 711 766 790 810 948 1080 1149 1185 1422 1532 1580 1620 1896 1915 2133 2298 2370 2844 3064 3160 3240 3447 3555 3830 4266 4596 4740 5688 5745 6399 6894 7110 7660 8532 9192 9480 10341 10665 11490 12798 13788 14220 15320 17064 17235 20682 21330 22980 25596 27576 28440 30257 31023 31995 34470 41364 42660 45960 51192 51705 60514 62046 63990 68940 82728 85320 90771 103410 121028 124092 127980 137880 151285 155115 181542 206820 242056 248184 255960 272313 302570 310230 363084 413640 453855 544626 605140 620460 726168 816939 907710 1089252 1210280 1240920 1361565 1633878 1815420 2178504 2450817 2723130 3267756 3630840 4084695 4901634 5446260 6535512 8169390 9803268 10892520 12254085 16338780 19606536 24508170 32677560 49016340 98032680