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102020352 = 283722711
BaseRepresentation
bin1100001010010…
…11010100000000
321002222011121120
412011023110000
5202104122402
614042352240
72346105300
oct605132400
9232864546
10102020352
1152651445
122a1bb680
13181a0295
14d799600
158e533bc
hex614b500

102020352 has 108 divisors (see below), whose sum is σ = 315969696. Its totient is φ = 29137920.

The previous prime is 102020339. The next prime is 102020371. The reversal of 102020352 is 253020201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36277 + ... + 38987.

Almost surely, 2102020352 is an apocalyptic number.

102020352 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 102020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157984848).

102020352 is an abundant number, since it is smaller than the sum of its proper divisors (213949344).

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

102020352 is an equidigital number, since it uses as much as digits as its factorization.

102020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 102020352 is about 10100.5124622467. The cubic root of 102020352 is about 467.2639463357.

Adding to 102020352 its reverse (253020201), we get a palindrome (355040553).

The spelling of 102020352 in words is "one hundred two million, twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 2711 3136 4704 5376 5422 6272 8133 9408 10844 12544 16266 18816 18977 21688 32532 37632 37954 43376 56931 65064 75908 86752 113862 130128 132839 151816 173504 227724 260256 265678 303632 347008 398517 455448 520512 531356 607264 694016 797034 910896 1041024 1062712 1214528 1594068 1821792 2082048 2125424 2429056 3188136 3643584 4250848 4858112 6376272 7287168 8501696 12752544 14574336 17003392 25505088 34006784 51010176 102020352