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120404000 = 255331971
BaseRepresentation
bin1110010110100…
…11100000100000
322101120011020102
413023103200200
5221310412000
615540401532
72661263033
oct713234040
9271504212
10120404000
1161a68342
12343a62a8
131bc38a92
1411dc301a
15a8853d5
hex72d3820

120404000 has 96 divisors (see below), whose sum is σ = 305690112. Its totient is φ = 46560000.

The previous prime is 120403991. The next prime is 120404017. The reversal of 120404000 is 404021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123515 + ... + 124485.

It is an arithmetic number, because the mean of its divisors is an integer number (3184272).

Almost surely, 2120404000 is an apocalyptic number.

120404000 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 120404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056).

120404000 is an abundant number, since it is smaller than the sum of its proper divisors (185286112).

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

120404000 is an equidigital number, since it uses as much as digits as its factorization.

120404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 120404000 is about 10972.8756486165. The cubic root of 120404000 is about 493.7953224433.

Adding to 120404000 its reverse (404021), we get a palindrome (120808021).

The spelling of 120404000 in words is "one hundred twenty million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 971 992 1000 1240 1550 1942 2000 2480 3100 3875 3884 4000 4855 4960 6200 7750 7768 9710 12400 15500 15536 19420 24275 24800 30101 31000 31072 38840 48550 60202 62000 77680 97100 120404 121375 124000 150505 155360 194200 240808 242750 301010 388400 481616 485500 602020 752525 776800 963232 971000 1204040 1505050 1942000 2408080 3010100 3762625 3884000 4816160 6020200 7525250 12040400 15050500 24080800 30101000 60202000 120404000