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107276940 = 22335257773
BaseRepresentation
bin1100110010011…
…10101010001100
321110212020022000
412121032222030
5204430330230
614351152300
72441560521
oct631165214
9243766260
10107276940
1155611831
122bb15690
13192c0aa4
1410367148
159640b60
hex664ea8c

107276940 has 96 divisors (see below), whose sum is σ = 335482560. Its totient is φ = 28459008.

The previous prime is 107276933. The next prime is 107276947. The reversal of 107276940 is 49672701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107276933) and next prime (107276947).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107276895 and 107276904.

It is not an unprimeable number, because it can be changed into a prime (107276947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138394 + ... + 139166.

It is an arithmetic number, because the mean of its divisors is an integer number (3494610).

Almost surely, 2107276940 is an apocalyptic number.

107276940 is a gapful number since it is divisible by the number (10) 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 107276940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167741280).

107276940 is an abundant number, since it is smaller than the sum of its proper divisors (228205620).

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

107276940 is a wasteful number, since it uses less digits than its factorization.

107276940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 107276940 is about 10357.4581823920. The cubic root of 107276940 is about 475.1551699878.

The spelling of 107276940 in words is "one hundred seven million, two hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 257 270 514 540 771 773 1028 1285 1542 1546 2313 2319 2570 3084 3092 3855 3865 4626 4638 5140 6939 6957 7710 7730 9252 9276 11565 11595 13878 13914 15420 15460 20871 23130 23190 27756 27828 34695 34785 41742 46260 46380 69390 69570 83484 104355 138780 139140 198661 208710 397322 417420 595983 794644 993305 1191966 1787949 1986610 2383932 2979915 3575898 3973220 5363847 5959830 7151796 8939745 10727694 11919660 17879490 21455388 26819235 35758980 53638470 107276940