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107454330 = 23351492671
BaseRepresentation
bin1100110011110…
…01111101111010
321111012020122000
412121321331322
5210002014310
614355041430
72443226634
oct631717572
9244166560
10107454330
1155723035
122bba0276
1319353759
14103b1a54
1596784c0
hex6679f7a

107454330 has 64 divisors (see below), whose sum is σ = 288576000. Its totient is φ = 28451520.

The previous prime is 107454301. The next prime is 107454343. The reversal of 107454330 is 33454701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107454294 and 107454303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38895 + ... + 41565.

It is an arithmetic number, because the mean of its divisors is an integer number (4509000).

Almost surely, 2107454330 is an apocalyptic number.

107454330 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 107454330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144288000).

107454330 is an abundant number, since it is smaller than the sum of its proper divisors (181121670).

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

107454330 is a wasteful number, since it uses less digits than its factorization.

107454330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 107454330 is about 10366.0180397296. The cubic root of 107454330 is about 475.4169266451.

The spelling of 107454330 in words is "one hundred seven million, four hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 447 745 894 1341 1490 2235 2671 2682 4023 4470 5342 6705 8013 8046 13355 13410 16026 20115 24039 26710 40065 40230 48078 72117 80130 120195 144234 240390 360585 397979 721170 795958 1193937 1989895 2387874 3581811 3979790 5969685 7163622 10745433 11939370 17909055 21490866 35818110 53727165 107454330