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102237696 = 2932112017
BaseRepresentation
bin1100001100000…
…00011000000000
321010101012202100
412012000120000
5202133101241
614051150400
72351002041
oct606003000
9233335670
10102237696
115278a770
122a2a5400
13182481a2
14d8148c8
158e979b6
hex6180600

102237696 has 120 divisors (see below), whose sum is σ = 322048584. Its totient is φ = 30965760.

The previous prime is 102237683. The next prime is 102237713. The reversal of 102237696 is 696732201.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102237696.

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, 49680 + ... + 51696.

Almost surely, 2102237696 is an apocalyptic number.

102237696 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 102237696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161024292).

102237696 is an abundant number, since it is smaller than the sum of its proper divisors (219810888).

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

102237696 is a wasteful number, since it uses less digits than its factorization.

102237696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 102237696 is about 10111.2657961306. The cubic root of 102237696 is about 467.5955304410.

Adding to 102237696 its reverse (696732201), we get a palindrome (798969897).

The spelling of 102237696 in words is "one hundred two million, two hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2017 2112 2304 2816 3168 4034 4224 4608 5632 6051 6336 8068 8448 12102 12672 16136 16896 18153 22187 24204 25344 32272 36306 44374 48408 50688 64544 66561 72612 88748 96816 129088 133122 145224 177496 193632 199683 258176 266244 290448 354992 387264 399366 516352 532488 580896 709984 774528 798732 1032704 1064976 1161792 1419968 1549056 1597464 2129952 2323584 2839936 3098112 3194928 4259904 4647168 5679872 6389856 8519808 9294336 11359744 12779712 17039616 25559424 34079232 51118848 102237696