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96298020 = 223257135879
BaseRepresentation
bin1011011110101…
…10010000100100
320201012110001100
411233112100210
5144123014040
613320000100
72246343150
oct557262044
9221173040
1096298020
114a3a3145
1228300030
1316c487a0
14cb0a060
1586c2b30
hex5bd6424

96298020 has 144 divisors (see below), whose sum is σ = 359573760. Its totient is φ = 20314368.

The previous prime is 96298003. The next prime is 96298039. The reversal of 96298020 is 2089269.

96298020 is a `hidden beast` number, since 9 + 629 + 8 + 0 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13441 + ... + 19319.

It is an arithmetic number, because the mean of its divisors is an integer number (2497040).

Almost surely, 296298020 is an apocalyptic number.

96298020 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 96298020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179786880).

96298020 is an abundant number, since it is smaller than the sum of its proper divisors (263275740).

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

96298020 is a wasteful number, since it uses less digits than its factorization.

96298020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5909 counting only the distinct ones).

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

The square root of 96298020 is about 9813.1554558154. The cubic root of 96298020 is about 458.3590238676.

It can be divided in two parts, 96 and 298020, that added together give a square (298116 = 5462).

The spelling of 96298020 in words is "ninety-six million, two hundred ninety-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 5879 8190 11758 16380 17637 23516 29395 35274 41153 52911 58790 70548 76427 82306 88185 105822 117580 123459 152854 164612 176370 205765 211644 229281 246918 264555 305708 352740 370377 382135 411530 458562 493836 529110 534989 617295 687843 740754 764270 823060 917124 1058220 1069978 1146405 1234590 1375686 1481508 1528540 1604967 1851885 2139956 2292810 2469180 2674945 2751372 3209934 3439215 3703770 4585620 4814901 5349890 6419868 6878430 7407540 8024835 9629802 10699780 13756860 16049670 19259604 24074505 32099340 48149010 96298020