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120420440 = 2357367131
BaseRepresentation
bin1110010110101…
…11100001011000
322101120222210022
413023113201120
5221311423230
615541010012
72661362000
oct713274130
9271528708
10120420440
1161a79728
12343b3908
131bc433ca
1411dc9000
15a88a1e5
hex72d7858

120420440 has 128 divisors (see below), whose sum is σ = 323136000. Its totient is φ = 40360320.

The previous prime is 120420437. The next prime is 120420463. The reversal of 120420440 is 44024021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919175 + ... + 919305.

It is an arithmetic number, because the mean of its divisors is an integer number (2524500).

Almost surely, 2120420440 is an apocalyptic number.

120420440 is a gapful number since it is divisible by the number (10) 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 120420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000).

120420440 is an abundant number, since it is smaller than the sum of its proper divisors (202715560).

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

120420440 is a wasteful number, since it uses less digits than its factorization.

120420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 120420440 is about 10973.6247429917. The cubic root of 120420440 is about 493.8177957433.

Adding to 120420440 its reverse (44024021), we get a palindrome (164444461).

The spelling of 120420440 in words is "one hundred twenty million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 67 70 98 131 134 140 196 245 262 268 280 335 343 392 469 490 524 536 655 670 686 917 938 980 1048 1310 1340 1372 1715 1834 1876 1960 2345 2620 2680 2744 3283 3430 3668 3752 4585 4690 5240 6419 6566 6860 7336 8777 9170 9380 12838 13132 13720 16415 17554 18340 18760 22981 25676 26264 32095 32830 35108 36680 43885 44933 45962 51352 61439 64190 65660 70216 87770 89866 91924 114905 122878 128380 131320 175540 179732 183848 224665 229810 245756 256760 307195 351080 359464 430073 449330 459620 491512 614390 860146 898660 919240 1228780 1720292 1797320 2150365 2457560 3010511 3440584 4300730 6021022 8601460 12042044 15052555 17202920 24084088 30105110 60210220 120420440