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998580102 = 2313217531093
BaseRepresentation
bin111011100001010…
…001111110000110
32120121000010101020
4323201101332012
54021114030402
6243031012010
733513535152
oct7341217606
92517003336
10998580102
11472744013
1223a50a006
1312bb60b00
149689c062
155ca008bc
hex3b851f86

998580102 has 96 divisors (see below), whose sum is σ = 2335156128. Its totient is φ = 283465728.

The previous prime is 998580101. The next prime is 998580103. The reversal of 998580102 is 201085899.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (998580101) and next prime (998580103).

It is a super-2 number, since 2×9985801022 = 1994324440220660808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998580101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913068 + ... + 914160.

It is an arithmetic number, because the mean of its divisors is an integer number (24324543).

Almost surely, 2998580102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998580102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167578064).

998580102 is an abundant number, since it is smaller than the sum of its proper divisors (1336576026).

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

998580102 is a wasteful number, since it uses less digits than its factorization.

998580102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 998580102 is about 31600.3180680195. The cubic root of 998580102 is about 999.5264764775.

The spelling of 998580102 in words is "nine hundred ninety-eight million, five hundred eighty thousand, one hundred two".

Divisors: 1 2 3 6 13 17 26 34 39 51 53 78 102 106 159 169 221 318 338 442 507 663 689 901 1014 1093 1326 1378 1802 2067 2186 2703 2873 3279 4134 5406 5746 6558 8619 8957 11713 14209 17238 17914 18581 23426 26871 28418 35139 37162 42627 53742 55743 57929 70278 85254 111486 115858 152269 173787 184717 241553 304538 347574 369434 456807 483106 554151 724659 753077 913614 984793 1108302 1449318 1506154 1969586 2259231 2954379 3140189 4518462 5908758 6280378 9420567 9790001 12802309 18841134 19580002 25604618 29370003 38406927 58740006 76813854 166430017 332860034 499290051 998580102