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102867440 = 2451398911
BaseRepresentation
bin1100010000110…
…10000111110000
321011120012121012
412020122013300
5202313224230
614112450052
72356234034
oct610320760
9234505535
10102867440
115307a915
122a549928
1318408a10
14d93a1c4
15906e395
hex621a1f0

102867440 has 40 divisors (see below), whose sum is σ = 257566848. Its totient is φ = 37981440.

The previous prime is 102867421. The next prime is 102867449. The reversal of 102867440 is 44768201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 102867397 and 102867406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102867449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48416 + ... + 50495.

Almost surely, 2102867440 is an apocalyptic number.

102867440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102867440 is an abundant number, since it is smaller than the sum of its proper divisors (154699408).

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

102867440 is a wasteful number, since it uses less digits than its factorization.

102867440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98937 (or 98931 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 102867440 is about 10142.3587000263. The cubic root of 102867440 is about 468.5536341363.

The spelling of 102867440 in words is "one hundred two million, eight hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 98911 197822 395644 494555 791288 989110 1285843 1582576 1978220 2571686 3956440 5143372 6429215 7912880 10286744 12858430 20573488 25716860 51433720 102867440