Search a number
-
+
120310752 = 2533140427
BaseRepresentation
bin1110010101111…
…00101111100000
322101101102022210
413022330233200
5221244421002
615534402120
72660424132
oct712745740
9271342283
10120310752
1161a04281
1234360340
131bc054c3
1411d9b052
15a86796c
hex72bcbe0

120310752 has 48 divisors (see below), whose sum is σ = 326011392. Its totient is φ = 38808960.

The previous prime is 120310747. The next prime is 120310753. The reversal of 120310752 is 257013021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120310753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17238 + ... + 23189.

It is an arithmetic number, because the mean of its divisors is an integer number (6791904).

Almost surely, 2120310752 is an apocalyptic number.

120310752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120310752 is an abundant number, since it is smaller than the sum of its proper divisors (205700640).

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

120310752 is a wasteful number, since it uses less digits than its factorization.

120310752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40471 (or 40463 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 120310752 is about 10968.6258027157. The cubic root of 120310752 is about 493.6678147245.

Adding to 120310752 its reverse (257013021), we get a palindrome (377323773).

The spelling of 120310752 in words is "one hundred twenty million, three hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 40427 80854 121281 161708 242562 323416 485124 646832 970248 1253237 1293664 1940496 2506474 3759711 3880992 5012948 7519422 10025896 15038844 20051792 30077688 40103584 60155376 120310752