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120630640 = 24513176823
BaseRepresentation
bin1110011000010…
…10110101110000
322101222200010111
413030022311300
5221340140030
615545311104
72663225554
oct714126560
9271880114
10120630640
1162102649
1234495494
131bcb7ca0
1412041864
15a8cc62a
hex730ad70

120630640 has 80 divisors (see below), whose sum is σ = 319854528. Its totient is φ = 41914368.

The previous prime is 120630637. The next prime is 120630647. The reversal of 120630640 is 46036021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120630647) 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 15 ways as a sum of consecutive naturals, for example, 14269 + ... + 21091.

Almost surely, 2120630640 is an apocalyptic number.

120630640 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 120630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159927264).

120630640 is an abundant number, since it is smaller than the sum of its proper divisors (199223888).

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

120630640 is a wasteful number, since it uses less digits than its factorization.

120630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 120630640 is about 10983.1980770630. The cubic root of 120630640 is about 494.1049567458.

Adding to 120630640 its reverse (46036021), we get a palindrome (166666661).

The spelling of 120630640 in words is "one hundred twenty million, six hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 6823 8840 13646 17680 27292 34115 54584 68230 88699 109168 115991 136460 177398 231982 272920 354796 443495 463964 545840 579955 709592 886990 927928 1159910 1419184 1507883 1773980 1855856 2319820 3015766 3547960 4639640 6031532 7095920 7539415 9279280 12063064 15078830 24126128 30157660 60315320 120630640