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120797838 = 2337271643
BaseRepresentation
bin1110011001100…
…11101010001110
322102022011111000
413030303222032
5221411012323
615553041130
72664523200
oct714635216
9272264430
10120797838
1162207227
12345561a6
131c046115
1412086770
15a911e43
hex7333a8e

120797838 has 96 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 33974640.

The previous prime is 120797837. The next prime is 120797857. The reversal of 120797838 is 838797021.

It is a junction number, because it is equal to n+sod(n) for n = 120797793 and 120797802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120797837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187545 + ... + 188187.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2120797838 is an apocalyptic number.

120797838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120797838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

120797838 is an abundant number, since it is smaller than the sum of its proper divisors (196359282).

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

120797838 is a wasteful number, since it uses less digits than its factorization.

120797838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 120797838 is about 10990.8069767420. The cubic root of 120797838 is about 494.3331332181. Note that the first 3 decimals are identical.

The spelling of 120797838 in words is "one hundred twenty million, seven hundred ninety-seven thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 71 98 126 142 147 189 213 294 378 426 441 497 639 643 882 994 1278 1286 1323 1491 1917 1929 2646 2982 3479 3834 3858 4473 4501 5787 6958 8946 9002 10437 11574 13419 13503 17361 20874 26838 27006 31311 31507 34722 40509 45653 62622 63014 81018 91306 93933 94521 121527 136959 187866 189042 243054 273918 283563 319571 410877 567126 639142 821754 850689 958713 1232631 1701378 1917426 2236997 2465262 2876139 4473994 5752278 6710991 8628417 13421982 17256834 20132973 40265946 60398919 120797838