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102887424 = 212322791
BaseRepresentation
bin1100010000111…
…11000000000000
321011121020000100
412020133000000
5202314344144
614113122400
72356346223
oct610370000
9234536010
10102887424
1153093932
122a559400
1318414b43
14d9435ba
159075269
hex621f000

102887424 has 78 divisors (see below), whose sum is σ = 297300536. Its totient is φ = 34283520.

The previous prime is 102887423. The next prime is 102887431. The reversal of 102887424 is 424788201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102887423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35469 + ... + 38259.

Almost surely, 2102887424 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 102887424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148650268).

102887424 is an abundant number, since it is smaller than the sum of its proper divisors (194413112).

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

102887424 is an equidigital number, since it uses as much as digits as its factorization.

102887424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 102887424 is about 10143.3438273579. The cubic root of 102887424 is about 468.5839740558.

The spelling of 102887424 in words is "one hundred two million, eight hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2791 3072 4096 4608 5582 6144 8373 9216 11164 12288 16746 18432 22328 25119 33492 36864 44656 50238 66984 89312 100476 133968 178624 200952 267936 357248 401904 535872 714496 803808 1071744 1428992 1607616 2143488 2857984 3215232 4286976 5715968 6430464 8573952 11431936 12860928 17147904 25721856 34295808 51443712 102887424