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102246928 = 247331601
BaseRepresentation
bin1100001100000…
…10101000010000
321010101200102021
412012002220100
5202133400203
614051301224
72351041000
oct606025020
9233350367
10102246928
11527966a3
122a2aa814
131824c454
14d818000
158e9a5bd
hex6182a10

102246928 has 80 divisors (see below), whose sum is σ = 238873600. Its totient is φ = 42336000.

The previous prime is 102246917. The next prime is 102246931. The reversal of 102246928 is 829642201.

It is a junction number, because it is equal to n+sod(n) for n = 102246893 and 102246902.

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, 169828 + ... + 170428.

It is an arithmetic number, because the mean of its divisors is an integer number (2985920).

Almost surely, 2102246928 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 102246928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119436800).

102246928 is an abundant number, since it is smaller than the sum of its proper divisors (136626672).

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

102246928 is an equidigital number, since it uses as much as digits as its factorization.

102246928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 102246928 is about 10111.7223063136. The cubic root of 102246928 is about 467.6096045453.

The spelling of 102246928 in words is "one hundred two million, two hundred forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 343 392 434 496 601 686 784 868 1202 1372 1519 1736 2404 2744 3038 3472 4207 4808 5488 6076 8414 9616 10633 12152 16828 18631 21266 24304 29449 33656 37262 42532 58898 67312 74524 85064 117796 130417 149048 170128 206143 235592 260834 298096 412286 471184 521668 824572 912919 1043336 1649144 1825838 2086672 3298288 3651676 6390433 7303352 12780866 14606704 25561732 51123464 102246928