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107340030 = 23257672543
BaseRepresentation
bin1100110010111…
…10000011111110
321110222102211200
412121132003332
5204434340110
614352400330
72442242460
oct631360376
9243872750
10107340030
1155655176
122bb460a6
1319313715
1410382130
1596546c0
hex665e0fe

107340030 has 96 divisors (see below), whose sum is σ = 323841024. Its totient is φ = 24159168.

The previous prime is 107340029. The next prime is 107340043. The reversal of 107340030 is 30043701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107339985 and 107340012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40939 + ... + 43481.

It is an arithmetic number, because the mean of its divisors is an integer number (3373344).

Almost surely, 2107340030 is an apocalyptic number.

107340030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107340030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161920512).

107340030 is an abundant number, since it is smaller than the sum of its proper divisors (216500994).

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

107340030 is a wasteful number, since it uses less digits than its factorization.

107340030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 107340030 is about 10360.5033661497. The cubic root of 107340030 is about 475.2482986228.

Adding to 107340030 its reverse (30043701), we get a palindrome (137383731).

The spelling of 107340030 in words is "one hundred seven million, three hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 67 70 90 105 126 134 201 210 315 335 402 469 603 630 670 938 1005 1206 1407 2010 2345 2543 2814 3015 4221 4690 5086 6030 7035 7629 8442 12715 14070 15258 17801 21105 22887 25430 35602 38145 42210 45774 53403 76290 89005 106806 114435 160209 170381 178010 228870 267015 320418 340762 511143 534030 801045 851905 1022286 1192667 1533429 1602090 1703810 2385334 2555715 3066858 3578001 5111430 5963335 7156002 7667145 10734003 11926670 15334290 17890005 21468006 35780010 53670015 107340030