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101024980 = 225729149167
BaseRepresentation
bin1100000010110…
…00010011010100
321001002121012221
412001120103110
5201330244410
614005152124
72334461320
oct601302324
9231077187
10101024980
1152031621
12299bb644
1317c121c4
14d5ba980
158d084da
hex60584d4

101024980 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 33019392.

The previous prime is 101024971. The next prime is 101024981. The reversal of 101024980 is 89420101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101024981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604857 + ... + 605023.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2101024980 is an apocalyptic number.

101024980 is a gapful number since it is divisible by the number (10) 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 101024980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

101024980 is an abundant number, since it is smaller than the sum of its proper divisors (152991020).

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

101024980 is a wasteful number, since it uses less digits than its factorization.

101024980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 101024980 is about 10051.1183457365. The cubic root of 101024980 is about 465.7393410471.

The spelling of 101024980 in words is "one hundred one million, twenty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 149 167 203 290 298 334 406 580 596 668 745 812 835 1015 1043 1169 1490 1670 2030 2086 2338 2980 3340 4060 4172 4321 4676 4843 5215 5845 8642 9686 10430 11690 17284 19372 20860 21605 23380 24215 24883 30247 33901 43210 48430 49766 60494 67802 86420 96860 99532 120988 124415 135604 151235 169505 174181 248830 302470 339010 348362 497660 604940 678020 696724 721607 870905 1443214 1741810 2886428 3483620 3608035 5051249 7216070 10102498 14432140 20204996 25256245 50512490 101024980