Search a number
-
+
468112120 = 23571987991
BaseRepresentation
bin11011111001101…
…101001011111000
31012121211120002221
4123321231023320
51424314041440
6114241133424
714412613240
oct3371551370
91177746087
10468112120
11220267623
1211092a274
1375c9ba28
1446254b20
152b169d4a
hex1be6d2f8

468112120 has 64 divisors (see below), whose sum is σ = 1267084800. Its totient is φ = 152046720.

The previous prime is 468112111. The next prime is 468112181. The reversal of 468112120 is 21211864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38676 + ... + 49315.

It is an arithmetic number, because the mean of its divisors is an integer number (19798200).

Almost surely, 2468112120 is an apocalyptic number.

468112120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468112120 is an abundant number, since it is smaller than the sum of its proper divisors (798972680).

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

468112120 is a wasteful number, since it uses less digits than its factorization.

468112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88028 (or 88024 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 468112120 is about 21635.8988720136. The cubic root of 468112120 is about 776.4556036063.

Adding to 468112120 its reverse (21211864), we get a palindrome (489323984).

The spelling of 468112120 in words is "four hundred sixty-eight million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 87991 175982 351964 439955 615937 703928 879910 1231874 1671829 1759820 2463748 3079685 3343658 3519640 4927496 6159370 6687316 8359145 11702803 12318740 13374632 16718290 23405606 24637480 33436580 46811212 58514015 66873160 93622424 117028030 234056060 468112120