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120930304 = 21411261
BaseRepresentation
bin1110011010101…
…00000000000000
322102112220012011
413031110000000
5221424232204
615555542304
72665614325
oct715240000
9272486164
10120930304
1162297800
12345ba994
131c0914c1
14120bcb4c
15a93b304
hex7354000

120930304 has 90 divisors (see below), whose sum is σ = 270196682. Its totient is φ = 54067200.

The previous prime is 120930301. The next prime is 120930323. The reversal of 120930304 is 403039021.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 49561600 = 8448^2 + 7040^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120930301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1982434 + ... + 1982494.

Almost surely, 2120930304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135098341).

120930304 is an abundant number, since it is smaller than the sum of its proper divisors (149266378).

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

120930304 is an frugal number, since it uses more digits than its factorization.

120930304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 120930304 is about 10996.8315436766. The cubic root of 120930304 is about 494.5137612069.

Adding to 120930304 its reverse (403039021), we get a palindrome (523969325).

It can be divided in two parts, 1209 and 30304, that added together give a palindrome (31513).

The spelling of 120930304 in words is "one hundred twenty million, nine hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 121 122 128 176 242 244 256 352 484 488 512 671 704 968 976 1024 1342 1408 1936 1952 2048 2684 2816 3872 3904 4096 5368 5632 7381 7744 7808 8192 10736 11264 14762 15488 15616 16384 21472 22528 29524 30976 31232 42944 45056 59048 61952 62464 85888 90112 118096 123904 124928 171776 180224 236192 247808 249856 343552 472384 495616 499712 687104 944768 991232 999424 1374208 1889536 1982464 2748416 3779072 5496832 7558144 10993664 15116288 30232576 60465152 120930304