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120134400 = 283526257
BaseRepresentation
bin1110010100100…
…01101100000000
322101001110102020
413022101230000
5221223300100
615530521440
72656061031
oct712215400
9271043366
10120134400
11618a3831
1234296280
131bb73159
1411d52a88
15a8305a0
hex7291b00

120134400 has 108 divisors (see below), whose sum is σ = 396531912. Its totient is φ = 32030720.

The previous prime is 120134383. The next prime is 120134429. The reversal of 120134400 is 4431021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120134400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16072 + ... + 22328.

Almost surely, 2120134400 is an apocalyptic number.

120134400 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 120134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198265956).

120134400 is an abundant number, since it is smaller than the sum of its proper divisors (276397512).

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

120134400 is an equidigital number, since it uses as much as digits as its factorization.

120134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120134400 is about 10960.5839260507. The cubic root of 120134400 is about 493.4264899967.

Adding to 120134400 its reverse (4431021), we get a palindrome (124565421).

The spelling of 120134400 in words is "one hundred twenty million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6257 6400 9600 12514 18771 19200 25028 31285 37542 50056 62570 75084 93855 100112 125140 150168 156425 187710 200224 250280 300336 312850 375420 400448 469275 500560 600672 625700 750840 800896 938550 1001120 1201344 1251400 1501680 1601792 1877100 2002240 2402688 2502800 3003360 3754200 4004480 4805376 5005600 6006720 7508400 8008960 10011200 12013440 15016800 20022400 24026880 30033600 40044800 60067200 120134400