[go: up one dir, main page]

Search a number
-
+
120474540 = 223658263
BaseRepresentation
bin1110010111001…
…00101110101100
322101200202000000
413023210232230
5221320141130
615542104300
72662005504
oct713445654
9271622000
10120474540
116200633a
123441b090
131bc61c14
1412000a04
15a89b260
hex72e4bac

120474540 has 84 divisors (see below), whose sum is σ = 379367184. Its totient is φ = 32122656.

The previous prime is 120474533. The next prime is 120474559. The reversal of 120474540 is 45474021.

120474540 is a `hidden beast` number, since 1 + 204 + 7 + 454 + 0 = 666.

It is a super-2 number, since 2×1204745402 = 29028229576423200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10449 + ... + 18711.

It is an arithmetic number, because the mean of its divisors is an integer number (4516276).

Almost surely, 2120474540 is an apocalyptic number.

120474540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120474540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189683592).

120474540 is an abundant number, since it is smaller than the sum of its proper divisors (258892644).

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

120474540 is an equidigital number, since it uses as much as digits as its factorization.

120474540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8290 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 120474540 is about 10976.0894675654. The cubic root of 120474540 is about 493.8917354139.

The spelling of 120474540 in words is "one hundred twenty million, four hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 8263 14580 16526 24789 33052 41315 49578 74367 82630 99156 123945 148734 165260 223101 247890 297468 371835 446202 495780 669303 743670 892404 1115505 1338606 1487340 2007909 2231010 2677212 3346515 4015818 4462020 6023727 6693030 8031636 10039545 12047454 13386060 20079090 24094908 30118635 40158180 60237270 120474540