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107440380 = 223253131907
BaseRepresentation
bin1100110011101…
…10100011111100
321111011112111100
412121312203330
5210001043010
614354453100
72443141155
oct631664374
9244145440
10107440380
1155713603
122bb94190
131934a2b8
14103aa92c
1596742c0
hex66768fc

107440380 has 72 divisors (see below), whose sum is σ = 327115152. Its totient is φ = 28544256.

The previous prime is 107440379. The next prime is 107440397. The reversal of 107440380 is 83044701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55387 + ... + 57293.

It is an arithmetic number, because the mean of its divisors is an integer number (4543266).

Almost surely, 2107440380 is an apocalyptic number.

107440380 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 107440380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163557576).

107440380 is an abundant number, since it is smaller than the sum of its proper divisors (219674772).

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

107440380 is a wasteful number, since it uses less digits than its factorization.

107440380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107440380 is about 10365.3451462071. The cubic root of 107440380 is about 475.3963524683.

The spelling of 107440380 in words is "one hundred seven million, four hundred forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 1907 2817 3130 3756 3814 4695 5634 5721 6260 7628 9390 9535 11268 11442 14085 17163 18780 19070 22884 28170 28605 34326 38140 56340 57210 68652 85815 114420 171630 343260 596891 1193782 1790673 2387564 2984455 3581346 5372019 5968910 7162692 8953365 10744038 11937820 17906730 21488076 26860095 35813460 53720190 107440380