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107021340 = 22325594563
BaseRepresentation
bin1100110000100…
…00010000011100
321110101020200100
412120100100130
5204344140330
614341501100
72436444366
oct630202034
9243336610
10107021340
1155457798
122ba11790
131923164a
14102dbd36
1595e0060
hex661041c

107021340 has 36 divisors (see below), whose sum is σ = 324631944. Its totient is φ = 28538976.

The previous prime is 107021333. The next prime is 107021351. The reversal of 107021340 is 43120701.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1070213403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 297102 + ... + 297461.

It is an arithmetic number, because the mean of its divisors is an integer number (9017554).

Almost surely, 2107021340 is an apocalyptic number.

107021340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107021340 is an abundant number, since it is smaller than the sum of its proper divisors (217610604).

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

107021340 is a wasteful number, since it uses less digits than its factorization.

107021340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594578 (or 594573 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 107021340 is about 10345.1118891968. Note that the first 3 decimals coincide. The cubic root of 107021340 is about 474.7774987462. Note that the first 3 decimals are identical.

The spelling of 107021340 in words is "one hundred seven million, twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 594563 1189126 1783689 2378252 2972815 3567378 5351067 5945630 7134756 8918445 10702134 11891260 17836890 21404268 26755335 35673780 53510670 107021340