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102780928 = 212231091
BaseRepresentation
bin1100010000001…
…01000000000000
321011101210221001
412020011000000
5202302442203
614110541344
72355423565
oct610050000
9234353831
10102780928
1153020918
122a507854
13183a8523
14d91686c
15905391d
hex6205000

102780928 has 52 divisors (see below), whose sum is σ = 214669728. Its totient is φ = 49111040.

The previous prime is 102780917. The next prime is 102780943. The reversal of 102780928 is 829087201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93663 + ... + 94753.

It is an arithmetic number, because the mean of its divisors is an integer number (4128264).

Almost surely, 2102780928 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 102780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107334864).

102780928 is an abundant number, since it is smaller than the sum of its proper divisors (111888800).

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

102780928 is an equidigital number, since it uses as much as digits as its factorization.

102780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 102780928 is about 10138.0929173094. The cubic root of 102780928 is about 468.4222453612.

The spelling of 102780928 in words is "one hundred two million, seven hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1091 1472 2048 2182 2944 4096 4364 5888 8728 11776 17456 23552 25093 34912 47104 50186 69824 94208 100372 139648 200744 279296 401488 558592 802976 1117184 1605952 2234368 3211904 4468736 6423808 12847616 25695232 51390464 102780928