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989010100 = 2252131993823
BaseRepresentation
bin111010111100110…
…001100010110100
32112220222220210201
4322330301202310
54011141310400
6242045530244
733336306241
oct7274614264
92486886721
10989010100
114682a7a21
12237273984
13129b8cba0
14954ca5c8
155bc6006a
hex3af318b4

989010100 has 72 divisors (see below), whose sum is σ = 2323462400. Its totient is φ = 363242880.

The previous prime is 989010091. The next prime is 989010101. The reversal of 989010100 is 1010989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989010101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256789 + ... + 260611.

Almost surely, 2989010100 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 989010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161731200).

989010100 is an abundant number, since it is smaller than the sum of its proper divisors (1334452300).

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

989010100 is a wasteful number, since it uses less digits than its factorization.

989010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 989010100 is about 31448.5309672805. The cubic root of 989010100 is about 996.3231976935.

The spelling of 989010100 in words is "nine hundred eighty-nine million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 199 260 325 398 650 796 995 1300 1990 2587 3823 3980 4975 5174 7646 9950 10348 12935 15292 19115 19900 25870 38230 49699 51740 64675 76460 95575 99398 129350 191150 198796 248495 258700 382300 496990 760777 993980 1242475 1521554 2484950 3043108 3803885 4969900 7607770 9890101 15215540 19019425 19780202 38038850 39560404 49450505 76077700 98901010 197802020 247252525 494505050 989010100