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107446140 = 223251989353
BaseRepresentation
bin1100110011101…
…11111101111100
321111011211101200
412121313331330
5210001234030
614354535500
72443164024
oct631677574
9244154350
10107446140
115571796a
122bb97590
131934cac9
14103aca84
159675d60
hex6677f7c

107446140 has 144 divisors (see below), whose sum is σ = 347911200. Its totient is φ = 26763264.

The previous prime is 107446111. The next prime is 107446147. The reversal of 107446140 is 41644701.

107446140 is a `hidden beast` number, since 1 + 0 + 7 + 44 + 614 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107446147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304204 + ... + 304556.

It is an arithmetic number, because the mean of its divisors is an integer number (2416050).

Almost surely, 2107446140 is an apocalyptic number.

107446140 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 107446140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173955600).

107446140 is an abundant number, since it is smaller than the sum of its proper divisors (240465060).

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

107446140 is a wasteful number, since it uses less digits than its factorization.

107446140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 471 counting only the distinct ones).

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

The square root of 107446140 is about 10365.6229914077. The cubic root of 107446140 is about 475.4048478281.

The spelling of 107446140 in words is "one hundred seven million, four hundred forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 89 90 95 114 171 178 180 190 228 267 285 342 353 356 380 445 534 570 684 706 801 855 890 1059 1068 1140 1335 1412 1602 1691 1710 1765 1780 2118 2670 3177 3204 3382 3420 3530 4005 4236 5073 5295 5340 6354 6707 6764 7060 8010 8455 10146 10590 12708 13414 15219 15885 16020 16910 20121 20292 21180 25365 26828 30438 31417 31770 33535 33820 40242 50730 60363 60876 62834 63540 67070 76095 80484 94251 100605 101460 120726 125668 134140 152190 157085 188502 201210 241452 282753 301815 304380 314170 377004 402420 471255 565506 596923 603630 628340 942510 1131012 1193846 1207260 1413765 1790769 1885020 2387692 2827530 2984615 3581538 5372307 5655060 5969230 7163076 8953845 10744614 11938460 17907690 21489228 26861535 35815380 53723070 107446140