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120630384 = 2434713297
BaseRepresentation
bin1110011000010…
…10110001110000
322101222122210000
413030022301300
5221340133014
615545310000
72663225040
oct714126160
9271878700
10120630384
1162102436
1234495300
131bcb7b34
1412041720
15a8cc509
hex730ac70

120630384 has 100 divisors (see below), whose sum is σ = 399046384. Its totient is φ = 34463232.

The previous prime is 120630371. The next prime is 120630413. The reversal of 120630384 is 483036021.

It is a happy number.

120630384 is a `hidden beast` number, since 1 + 20 + 630 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2424 + ... + 15720.

Almost surely, 2120630384 is an apocalyptic number.

120630384 is a gapful number since it is divisible by the number (14) 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 120630384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199523192).

120630384 is an abundant number, since it is smaller than the sum of its proper divisors (278416000).

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

120630384 is a wasteful number, since it uses less digits than its factorization.

120630384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13324 (or 13309 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 120630384 is about 10983.1864228920. The cubic root of 120630384 is about 494.1046072189.

The spelling of 120630384 in words is "one hundred twenty million, six hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 13297 26594 39891 53188 79782 93079 106376 119673 159564 186158 212752 239346 279237 319128 359019 372316 478692 558474 638256 718038 744632 837711 957384 1077057 1116948 1436076 1489264 1675422 1914768 2154114 2233896 2513133 2872152 3350844 4308228 4467792 5026266 5744304 6701688 7539399 8616456 10052532 13403376 15078798 17232912 20105064 30157596 40210128 60315192 120630384