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102976940 = 225112232099
BaseRepresentation
bin1100010001101…
…00110110101100
321011202202210202
412020310312230
5202330230230
614115053032
72360201213
oct610646654
9234682722
10102976940
1153145110
122a5a1178
1318446801
14d96807a
159091a45
hex6234dac

102976940 has 48 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 37260480.

The previous prime is 102976931. The next prime is 102976963. The reversal of 102976940 is 49679201.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 102976894 and 102976903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48011 + ... + 50109.

It is an arithmetic number, because the mean of its divisors is an integer number (4939200).

Almost surely, 2102976940 is an apocalyptic number.

102976940 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 102976940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

102976940 is an abundant number, since it is smaller than the sum of its proper divisors (134104660).

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

102976940 is a wasteful number, since it uses less digits than its factorization.

102976940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 102976940 is about 10147.7554168397. The cubic root of 102976940 is about 468.7198299990.

The spelling of 102976940 in words is "one hundred two million, nine hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 446 892 1115 2099 2230 2453 4198 4460 4906 8396 9812 10495 12265 20990 23089 24530 41980 46178 49060 92356 115445 230890 461780 468077 936154 1872308 2340385 4680770 5148847 9361540 10297694 20595388 25744235 51488470 102976940