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107300004 = 22373131199
BaseRepresentation
bin1100110010101…
…00010010100100
321110220101221020
412121110102210
5204432100004
614351451140
72442015000
oct631242244
9243811836
10107300004
1155628099
122bb26ab0
13192cb436
1410371700
1596478d9
hex66544a4

107300004 has 96 divisors (see below), whose sum is σ = 295680000. Its totient is φ = 30270240.

The previous prime is 107300003. The next prime is 107300023. The reversal of 107300004 is 400003701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107300003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539097 + ... + 539295.

It is an arithmetic number, because the mean of its divisors is an integer number (3080000).

Almost surely, 2107300004 is an apocalyptic number.

107300004 is a gapful number since it is divisible by the number (14) 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 107300004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840000).

107300004 is an abundant number, since it is smaller than the sum of its proper divisors (188379996).

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

107300004 is a wasteful number, since it uses less digits than its factorization.

107300004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 107300004 is about 10358.5715231397. The cubic root of 107300004 is about 475.1892195346.

Adding to 107300004 its reverse (400003701), we get a palindrome (507303705).

The spelling of 107300004 in words is "one hundred seven million, three hundred thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 131 147 196 199 262 294 343 393 398 524 588 597 686 786 796 917 1029 1194 1372 1393 1572 1834 2058 2388 2751 2786 3668 4116 4179 5502 5572 6419 8358 9751 11004 12838 16716 19257 19502 25676 26069 29253 38514 39004 44933 52138 58506 68257 77028 78207 89866 104276 117012 134799 136514 156414 179732 182483 204771 269598 273028 312828 364966 409542 539196 547449 729932 819084 1094898 1277381 2189796 2554762 3832143 5109524 7664286 8941667 15328572 17883334 26825001 35766668 53650002 107300004