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102867996 = 223711163683
BaseRepresentation
bin1100010000110…
…10010000011100
321011120020100210
412020122100130
5202313233441
614112452420
72356235460
oct610322034
9234506323
10102867996
1153080280
122a54a110
131840904a
14d93a4a0
15906e616
hex621a41c

102867996 has 96 divisors (see below), whose sum is σ = 301529088. Its totient is φ = 26516160.

The previous prime is 102867991. The next prime is 102868019. The reversal of 102867996 is 699768201.

102867996 is a nontrivial binomial coefficient, being equal to C(14344, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102867991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150271 + ... + 150953.

It is an arithmetic number, because the mean of its divisors is an integer number (3140928).

Almost surely, 2102867996 is an apocalyptic number.

102867996 is the 14343-rd triangular number and also the 7172-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102867996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150764544).

102867996 is an abundant number, since it is smaller than the sum of its proper divisors (198661092).

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

102867996 is a wasteful number, since it uses less digits than its factorization.

102867996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 102867996 is about 10142.3861097870. The cubic root of 102867996 is about 468.5544783145.

The spelling of 102867996 in words is "one hundred two million, eight hundred sixty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 163 231 308 326 462 489 652 683 924 978 1141 1366 1793 1956 2049 2282 2732 3423 3586 4098 4564 4781 5379 6846 7172 7513 8196 9562 10758 12551 13692 14343 15026 19124 21516 22539 25102 28686 30052 37653 45078 50204 52591 57372 75306 90156 105182 111329 150612 157773 210364 222658 315546 333987 445316 631092 667974 779303 1224619 1335948 1558606 2337909 2449238 3117212 3673857 4675818 4898476 7347714 8572333 9351636 14695428 17144666 25716999 34289332 51433998 102867996