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102730496 = 28111912
BaseRepresentation
bin1100001111110…
…00101100000000
321011022020202012
412013320230000
5202244333441
614105512052
72355123551
oct607705400
9234266665
10102730496
1152a96a40
122a4a2628
131838b59b
14d902328
1590439eb
hex61f8b00

102730496 has 54 divisors (see below), whose sum is σ = 224878836. Its totient is φ = 46451200.

The previous prime is 102730493. The next prime is 102730513. The reversal of 102730496 is 694037201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (102730493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 537761 + ... + 537951.

Almost surely, 2102730496 is an apocalyptic number.

102730496 is a gapful number since it is divisible by the number (16) 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 102730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112439418).

102730496 is an abundant number, since it is smaller than the sum of its proper divisors (122148340).

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

102730496 is an frugal number, since it uses more digits than its factorization.

102730496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 102730496 is about 10135.6053593261. The cubic root of 102730496 is about 468.3456185135.

Adding to 102730496 its reverse (694037201), we get a palindrome (796767697).

The spelling of 102730496 in words is "one hundred two million, seven hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 191 256 352 382 704 764 1408 1528 2101 2816 3056 4202 6112 8404 12224 16808 24448 33616 36481 48896 67232 72962 134464 145924 268928 291848 401291 537856 583696 802582 1167392 1605164 2334784 3210328 4669568 6420656 9339136 12841312 25682624 51365248 102730496