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120639948 = 2231113229307
BaseRepresentation
bin1110011000011…
…01000111001100
322102000010220020
413030031013030
5221340434243
615545422140
72663264652
oct714150714
9272003806
10120639948
1162109640
123449a950
131bcbc2b0
1412044dd2
15a8d0283
hex730d1cc

120639948 has 96 divisors (see below), whose sum is σ = 333231360. Its totient is φ = 33488640.

The previous prime is 120639947. The next prime is 120639977. The reversal of 120639948 is 849936021.

It is not an unprimeable number, because it can be changed into a prime (120639947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392811 + ... + 393117.

It is an arithmetic number, because the mean of its divisors is an integer number (3471160).

Almost surely, 2120639948 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 120639948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166615680).

120639948 is an abundant number, since it is smaller than the sum of its proper divisors (212591412).

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

120639948 is a wasteful number, since it uses less digits than its factorization.

120639948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 120639948 is about 10983.6218070361. The cubic root of 120639948 is about 494.1176649893.

The spelling of 120639948 in words is "one hundred twenty million, six hundred thirty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 229 286 307 429 458 572 614 687 858 916 921 1228 1374 1716 1842 2519 2748 2977 3377 3684 3991 5038 5954 6754 7557 7982 8931 10076 10131 11908 11973 13508 15114 15964 17862 20262 23946 30228 32747 35724 40524 43901 47892 65494 70303 87802 98241 130988 131703 140606 175604 196482 210909 263406 281212 392964 421818 526812 773333 843636 913939 1546666 1827878 2319999 2741817 3093332 3655756 4639998 5483634 9279996 10053329 10967268 20106658 30159987 40213316 60319974 120639948