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107220000 = 253541787
BaseRepresentation
bin1100110010000…
…00110000100000
321110202100012010
412121000300200
5204422020000
614350032520
72441232516
oct631006040
9243670163
10107220000
1155582a78
122baa8740
13192a0bb4
14103504b6
15962dd50
hex6640c20

107220000 has 120 divisors (see below), whose sum is σ = 351899856. Its totient is φ = 28576000.

The previous prime is 107219999. The next prime is 107220023. The reversal of 107220000 is 22701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1072200002 = 22992256800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59107 + ... + 60893.

Almost surely, 2107220000 is an apocalyptic number.

107220000 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 107220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175949928).

107220000 is an abundant number, since it is smaller than the sum of its proper divisors (244679856).

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

107220000 is an equidigital number, since it uses as much as digits as its factorization.

107220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 107220000 is about 10354.7090736534. The cubic root of 107220000 is about 475.0710881601.

Adding to 107220000 its reverse (22701), we get a palindrome (107242701).

The spelling of 107220000 in words is "one hundred seven million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1787 1875 2000 2400 2500 3000 3574 3750 4000 5000 5361 6000 7148 7500 8935 10000 10722 12000 14296 15000 17870 20000 21444 26805 28592 30000 35740 42888 44675 53610 57184 60000 71480 85776 89350 107220 134025 142960 171552 178700 214440 223375 268050 285920 357400 428880 446750 536100 670125 714800 857760 893500 1072200 1116875 1340250 1429600 1787000 2144400 2233750 2680500 3350625 3574000 4288800 4467500 5361000 6701250 7148000 8935000 10722000 13402500 17870000 21444000 26805000 35740000 53610000 107220000