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109407060 = 223257312801
BaseRepresentation
bin1101000010101…
…10101101010100
321121212110021100
412201112231110
5211002011220
614504550100
72465642010
oct641265524
9247773240
10109407060
1156837164
1230782330
1319888509
141075d540
159911d90
hex6856b54

109407060 has 144 divisors (see below), whose sum is σ = 391652352. Its totient is φ = 24192000.

The previous prime is 109407059. The next prime is 109407061. The reversal of 109407060 is 60704901.

It is an interprime number because it is at equal distance from previous prime (109407059) and next prime (109407061).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109407061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37660 + ... + 40460.

It is an arithmetic number, because the mean of its divisors is an integer number (2719808).

Almost surely, 2109407060 is an apocalyptic number.

109407060 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 109407060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195826176).

109407060 is an abundant number, since it is smaller than the sum of its proper divisors (282245292).

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

109407060 is a wasteful number, since it uses less digits than its factorization.

109407060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 109407060 is about 10459.7829805403. The cubic root of 109407060 is about 478.2795176607.

The spelling of 109407060 in words is "one hundred nine million, four hundred seven thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 2801 3255 3906 4340 5580 5602 6510 7812 8403 9765 11204 13020 14005 16806 19530 19607 25209 28010 33612 39060 39214 42015 50418 56020 58821 78428 84030 86831 98035 100836 117642 126045 168060 173662 176463 196070 235284 252090 260493 294105 347324 352926 392140 434155 504180 520986 588210 607817 705852 781479 868310 882315 1041972 1176420 1215634 1302465 1562958 1736620 1764630 1823451 2431268 2604930 3039085 3125916 3529260 3646902 3907395 5209860 5470353 6078170 7293804 7814790 9117255 10940706 12156340 15629580 18234510 21881412 27351765 36469020 54703530 109407060