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102260576 = 25111723743
BaseRepresentation
bin1100001100001…
…01111101100000
321010102101010202
412012011331200
5202134314301
614051444332
72351125535
oct606057540
9233371122
10102260576
11527a5980
122a2b66a8
1318255722
14d81cd8c
158e9e66b
hex6185f60

102260576 has 96 divisors (see below), whose sum is σ = 242984448. Its totient is φ = 41789440.

The previous prime is 102260573. The next prime is 102260591. The reversal of 102260576 is 675062201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102260573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137261 + ... + 138003.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 2102260576 is an apocalyptic number.

102260576 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 102260576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121492224).

102260576 is an abundant number, since it is smaller than the sum of its proper divisors (140723872).

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

102260576 is a wasteful number, since it uses less digits than its factorization.

102260576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 102260576 is about 10112.3971440999. The cubic root of 102260576 is about 467.6304092517.

The spelling of 102260576 in words is "one hundred two million, two hundred sixty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 68 88 92 136 176 184 187 253 272 352 368 374 391 506 544 736 743 748 782 1012 1486 1496 1564 2024 2972 2992 3128 4048 4301 5944 5984 6256 8096 8173 8602 11888 12512 12631 16346 17089 17204 23776 25262 32692 34178 34408 50524 65384 68356 68816 101048 130768 136712 137632 138941 187979 202096 261536 273424 277882 290513 375958 404192 546848 555764 581026 751916 1111528 1162052 1503832 2223056 2324104 3007664 3195643 4446112 4648208 6015328 6391286 9296416 12782572 25565144 51130288 102260576