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106070640 = 24351333997
BaseRepresentation
bin1100101001010…
…00001001110000
321101120221120020
412110220021300
5204123230030
614305243440
72425404564
oct624501160
9241527506
10106070640
1154968495
122b633580
1318c8a9c0
14101316a4
1594a3510
hex6528270

106070640 has 80 divisors (see below), whose sum is σ = 354123168. Its totient is φ = 26108928.

The previous prime is 106070639. The next prime is 106070647. The reversal of 106070640 is 46070601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1060706402 = 22501961340019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106070640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106070647) 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, 13879 + ... + 20118.

Almost surely, 2106070640 is an apocalyptic number.

106070640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106070640 is an abundant number, since it is smaller than the sum of its proper divisors (248052528).

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

106070640 is a wasteful number, since it uses less digits than its factorization.

106070640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34026 (or 34020 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 106070640 is about 10299.0601512954. The cubic root of 106070640 is about 473.3674554960.

The spelling of 106070640 in words is "one hundred six million, seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 33997 67994 101991 135988 169985 203982 271976 339970 407964 441961 509955 543952 679940 815928 883922 1019910 1325883 1359880 1631856 1767844 2039820 2209805 2651766 2719760 3535688 4079640 4419610 5303532 6629415 7071376 8159280 8839220 10607064 13258830 17678440 21214128 26517660 35356880 53035320 106070640