Search a number
-
+
120460248 = 23324735597
BaseRepresentation
bin1110010111000…
…01001111011000
322101200000101200
413023201033120
5221314211443
615541514200
72661616026
oct713411730
9271600350
10120460248
1161aa6627
1234412960
131bc5856c
1411dd9716
15a896dd3
hex72e13d8

120460248 has 48 divisors (see below), whose sum is σ = 333197280. Its totient is φ = 39297984.

The previous prime is 120460237. The next prime is 120460259. The reversal of 120460248 is 842064021.

120460248 is a `hidden beast` number, since 12 + 0 + 4 + 602 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (120460237) and next prime (120460259).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14415 + ... + 21182.

It is an arithmetic number, because the mean of its divisors is an integer number (6941610).

Almost surely, 2120460248 is an apocalyptic number.

120460248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120460248 is an abundant number, since it is smaller than the sum of its proper divisors (212737032).

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

120460248 is a wasteful number, since it uses less digits than its factorization.

120460248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35656 (or 35649 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 120460248 is about 10975.4383967111. The cubic root of 120460248 is about 493.8722043721.

The spelling of 120460248 in words is "one hundred twenty million, four hundred sixty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 35597 71194 106791 142388 213582 284776 320373 427164 640746 854328 1281492 1673059 2562984 3346118 5019177 6692236 10038354 13384472 15057531 20076708 30115062 40153416 60230124 120460248