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101676980 = 22519475693
BaseRepresentation
bin1100000111101…
…11011110110100
321002022201121002
412003313132310
5202012130410
614031142432
72343145226
oct603673664
9232281532
10101676980
1152437469
122a074a18
13180acbc2
14d70a416
158dd67a5
hex60f77b4

101676980 has 48 divisors (see below), whose sum is σ = 229582080. Its totient is φ = 37703808.

The previous prime is 101676979. The next prime is 101677021. The reversal of 101676980 is 89676101.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15014 + ... + 20706.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2101676980 is an apocalyptic number.

101676980 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 101676980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114791040).

101676980 is an abundant number, since it is smaller than the sum of its proper divisors (127905100).

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

101676980 is a wasteful number, since it uses less digits than its factorization.

101676980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 101676980 is about 10083.5003842912. The cubic root of 101676980 is about 466.7391304706.

The spelling of 101676980 in words is "one hundred one million, six hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 5693 8930 11386 17860 22772 28465 56930 108167 113860 216334 267571 432668 535142 540835 1070284 1081670 1337855 2163340 2675710 5083849 5351420 10167698 20335396 25419245 50838490 101676980