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7998060 = 22357137139
BaseRepresentation
bin11110100000101001101100
3120001100021110
4132200221230
54021414220
6443232020
7124660650
oct36405154
916040243
107998060
114573074
122818610
1318705a5
1410c2a60
15a7ebe0
hex7a0a6c

7998060 has 96 divisors (see below), whose sum is σ = 25966080. Its totient is φ = 1801728.

The previous prime is 7998059. The next prime is 7998061. The reversal of 7998060 is 608997.

It is an interprime number because it is at equal distance from previous prime (7998059) and next prime (7998061).

It is not an unprimeable number, because it can be changed into a prime (7998061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57471 + ... + 57609.

It is an arithmetic number, because the mean of its divisors is an integer number (270480).

Almost surely, 27998060 is an apocalyptic number.

7998060 is a gapful number since it is divisible by the number (70) 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 7998060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983040).

7998060 is an abundant number, since it is smaller than the sum of its proper divisors (17968020).

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

7998060 is a wasteful number, since it uses less digits than its factorization.

7998060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 7998060 is about 2828.0841571636. The cubic root of 7998060 is about 199.9838320264.

The spelling of 7998060 in words is "seven million, nine hundred ninety-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 139 140 210 274 278 411 417 420 548 556 685 695 822 834 959 973 1370 1390 1644 1668 1918 1946 2055 2085 2740 2780 2877 2919 3836 3892 4110 4170 4795 4865 5754 5838 8220 8340 9590 9730 11508 11676 14385 14595 19043 19180 19460 28770 29190 38086 57129 57540 58380 76172 95215 114258 133301 190430 228516 266602 285645 380860 399903 533204 571290 666505 799806 1142580 1333010 1599612 1999515 2666020 3999030 7998060