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98040 = 23351943
BaseRepresentation
bin10111111011111000
311222111010
4113323320
511114130
62033520
7555555
oct277370
9158433
1098040
1167728
12488a0
1335817
1427a2c
151e0b0
hex17ef8

98040 has 64 divisors (see below), whose sum is σ = 316800. Its totient is φ = 24192.

The previous prime is 98017. The next prime is 98041. The reversal of 98040 is 4089.

98040 = T135 + T136 + ... + T144.

98040 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×980402 = 19223683200, which contains 22 as substring.

98040 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 97998 and 98016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98041) by changing a digit.

98040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2259 + ... + 2301.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

298040 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 98040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400).

98040 is an abundant number, since it is smaller than the sum of its proper divisors (218760).

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

98040 is a wasteful number, since it uses less digits than its factorization.

98040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 98040 is about 313.1133979887. The cubic root of 98040 is about 46.1106347698.

The spelling of 98040 in words is "ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 43 57 60 76 86 95 114 120 129 152 172 190 215 228 258 285 344 380 430 456 516 570 645 760 817 860 1032 1140 1290 1634 1720 2280 2451 2580 3268 4085 4902 5160 6536 8170 9804 12255 16340 19608 24510 32680 49020 98040