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102040224 = 25311137433
BaseRepresentation
bin1100001010100…
…00001010100000
321010000011212120
412011100022200
5202110241344
614043024240
72346220236
oct605201240
9233004776
10102040224
1152665370
122a20b080
13181a9340
14d7a2956
158e59219
hex61502a0

102040224 has 96 divisors (see below), whose sum is σ = 314725824. Its totient is φ = 28538880.

The previous prime is 102040201. The next prime is 102040231. The reversal of 102040224 is 422040201.

It is a tau number, because it is divible by the number of its divisors (96).

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, 10012 + ... + 17444.

It is an arithmetic number, because the mean of its divisors is an integer number (3278394).

Almost surely, 2102040224 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 102040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157362912).

102040224 is an abundant number, since it is smaller than the sum of its proper divisors (212685600).

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

102040224 is a wasteful number, since it uses less digits than its factorization.

102040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470 (or 7462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 102040224 is about 10101.4961268121. The cubic root of 102040224 is about 467.2942829830.

Adding to 102040224 its reverse (422040201), we get a palindrome (524080425).

The spelling of 102040224 in words is "one hundred two million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 7433 13728 14866 22299 29732 44598 59464 81763 89196 96629 118928 163526 178392 193258 237856 245289 289887 327052 356784 386516 490578 579774 654104 713568 773032 981156 1062919 1159548 1308208 1546064 1962312 2125838 2319096 2616416 3092128 3188757 3924624 4251676 4638192 6377514 7849248 8503352 9276384 12755028 17006704 25510056 34013408 51020112 102040224