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120270390 = 23531791637
BaseRepresentation
bin1110010101100…
…10111000110110
322101022100221220
413022302320312
5221242123030
615533451210
72660165352
oct712627066
9271270856
10120270390
1161986a19
1234340b06
131bbc0016
1411d8a462
15a85aa10
hex72b2e36

120270390 has 64 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 30625920.

The previous prime is 120270389. The next prime is 120270391. The reversal of 120270390 is 93072021.

It is an interprime number because it is at equal distance from previous prime (120270389) and next prime (120270391).

It is a self number, because there is not a number n which added to its sum of digits gives 120270390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120270391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72652 + ... + 74288.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2120270390 is an apocalyptic number.

120270390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120270390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

120270390 is an abundant number, since it is smaller than the sum of its proper divisors (181645770).

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

120270390 is a wasteful number, since it uses less digits than its factorization.

120270390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 120270390 is about 10966.7857642976. The cubic root of 120270390 is about 493.6126031200.

The spelling of 120270390 in words is "one hundred twenty million, two hundred seventy thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 79 93 155 158 186 237 310 395 465 474 790 930 1185 1637 2370 2449 3274 4898 4911 7347 8185 9822 12245 14694 16370 24490 24555 36735 49110 50747 73470 101494 129323 152241 253735 258646 304482 387969 507470 646615 761205 775938 1293230 1522410 1939845 3879690 4009013 8018026 12027039 20045065 24054078 40090130 60135195 120270390