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120293972 = 22172961001
BaseRepresentation
bin1110010101110…
…00101001010100
322101100120022022
413022320221110
5221243401342
615534152312
72660324201
oct712705124
9271316268
10120293972
11619a2707
1234352698
131bbca986
1411d94ca8
15a8629d2
hex72b8a54

120293972 has 24 divisors (see below), whose sum is σ = 230587560. Its totient is φ = 54656000.

The previous prime is 120293963. The next prime is 120294007. The reversal of 120293972 is 279392021.

It can be written as a sum of positive squares in 4 ways, for example, as 42042256 + 78251716 = 6484^2 + 8846^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28529 + ... + 32472.

It is an arithmetic number, because the mean of its divisors is an integer number (9607815).

Almost surely, 2120293972 is an apocalyptic number.

It is an amenable number.

120293972 is a deficient number, since it is larger than the sum of its proper divisors (110293588).

120293972 is a wasteful number, since it uses less digits than its factorization.

120293972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61051 (or 61049 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 120293972 is about 10967.8608670971. The cubic root of 120293972 is about 493.6448626859.

The spelling of 120293972 in words is "one hundred twenty million, two hundred ninety-three thousand, nine hundred seventy-two".

Divisors: 1 2 4 17 29 34 58 68 116 493 986 1972 61001 122002 244004 1037017 1769029 2074034 3538058 4148068 7076116 30073493 60146986 120293972