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102896472 = 23372591483
BaseRepresentation
bin1100010001000…
…01001101011000
321011121200102110
412020201031120
5202320141342
614113232320
72356414500
oct610411530
9234550373
10102896472
115309a708
122a5626a0
1318418cb3
14d946a00
159077c9c
hex6221358

102896472 has 96 divisors (see below), whose sum is σ = 304516800. Its totient is φ = 28881216.

The previous prime is 102896467. The next prime is 102896483. The reversal of 102896472 is 274698201.

It is a self number, because there is not a number n which added to its sum of digits gives 102896472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68643 + ... + 70125.

It is an arithmetic number, because the mean of its divisors is an integer number (3172050).

Almost surely, 2102896472 is an apocalyptic number.

102896472 is a gapful number since it is divisible by the number (12) 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 102896472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152258400).

102896472 is an abundant number, since it is smaller than the sum of its proper divisors (201620328).

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

102896472 is a wasteful number, since it uses less digits than its factorization.

102896472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 102896472 is about 10143.7898243211. The cubic root of 102896472 is about 468.5977095327.

It can be divided in two parts, 10289 and 6472, that added together give a palindrome (16761).

The spelling of 102896472 in words is "one hundred two million, eight hundred ninety-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 59 84 98 118 147 168 177 196 236 294 354 392 413 472 588 708 826 1176 1239 1416 1483 1652 2478 2891 2966 3304 4449 4956 5782 5932 8673 8898 9912 10381 11564 11864 17346 17796 20762 23128 31143 34692 35592 41524 62286 69384 72667 83048 87497 124572 145334 174994 218001 249144 262491 290668 349988 436002 524982 581336 612479 699976 872004 1049964 1224958 1744008 1837437 2099928 2449916 3674874 4287353 4899832 7349748 8574706 12862059 14699496 17149412 25724118 34298824 51448236 102896472