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120148224 = 283722349
BaseRepresentation
bin1110010100101…
…01000100000000
322101002011101020
413022111010000
5221224220344
615531105440
72656146240
oct712250400
9271064336
10120148224
1161903159
12342a2280
131bb79531
1411d57b20
15a834719
hex7295100

120148224 has 72 divisors (see below), whose sum is σ = 365467200. Its totient is φ = 34326528.

The previous prime is 120148207. The next prime is 120148261. The reversal of 120148224 is 422841021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 120148194 and 120148203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5799 + ... + 16550.

Almost surely, 2120148224 is an apocalyptic number.

120148224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120148224 is an abundant number, since it is smaller than the sum of its proper divisors (245318976).

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

120148224 is an equidigital number, since it uses as much as digits as its factorization.

120148224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22375 (or 22361 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 120148224 is about 10961.2145312461. The cubic root of 120148224 is about 493.4454156504.

Adding to 120148224 its reverse (422841021), we get a palindrome (542989245).

The spelling of 120148224 in words is "one hundred twenty million, one hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 22349 44698 67047 89396 134094 156443 178792 268188 312886 357584 469329 536376 625772 715168 938658 1072752 1251544 1430336 1877316 2145504 2503088 2860672 3754632 4291008 5006176 5721344 7509264 8582016 10012352 15018528 17164032 20024704 30037056 40049408 60074112 120148224