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120422484 = 223371312253
BaseRepresentation
bin1110010110110…
…00000001010100
322101121002121000
413023120001110
5221312004414
615541023300
72661400650
oct713300124
9271532530
10120422484
1161a80216
12343b4b30
131bc44310
1411dc9a60
15a88ab09
hex72d8054

120422484 has 96 divisors (see below), whose sum is σ = 384285440. Its totient is φ = 31757184.

The previous prime is 120422483. The next prime is 120422501. The reversal of 120422484 is 484224021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120422483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3702 + ... + 15954.

Almost surely, 2120422484 is an apocalyptic number.

120422484 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 120422484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192142720).

120422484 is an abundant number, since it is smaller than the sum of its proper divisors (263862956).

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

120422484 is a wasteful number, since it uses less digits than its factorization.

120422484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12286 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 120422484 is about 10973.7178749957. The cubic root of 120422484 is about 493.8205897260.

The spelling of 120422484 in words is "one hundred twenty million, four hundred twenty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 12253 24506 36759 49012 73518 85771 110277 147036 159289 171542 220554 257313 318578 330831 343084 441108 477867 514626 637156 661662 771939 955734 1029252 1115023 1323324 1433601 1543878 1911468 2230046 2315817 2867202 3087756 3345069 4300803 4460092 4631634 5734404 6690138 8601606 9263268 10035207 13380276 17203212 20070414 30105621 40140828 60211242 120422484