Search a number
-
+
120052530 = 2345132877
BaseRepresentation
bin1110010011111…
…01101100110010
322100220022010000
413021331230302
5221213140110
615525050430
72655300243
oct711755462
9270808100
10120052530
1161848274
1234256a16
131bb44b00
1411d30cca
15a8161c0
hex727db32

120052530 has 120 divisors (see below), whose sum is σ = 349947972. Its totient is φ = 29517696.

The previous prime is 120052511. The next prime is 120052561. The reversal of 120052530 is 35250021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28869129 + 91183401 = 5373^2 + 9549^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 136452 + ... + 137328.

Almost surely, 2120052530 is an apocalyptic number.

120052530 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 120052530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174973986).

120052530 is an abundant number, since it is smaller than the sum of its proper divisors (229895442).

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

120052530 is a wasteful number, since it uses less digits than its factorization.

120052530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 120052530 is about 10956.8485432628. The cubic root of 120052530 is about 493.3143766557.

It can be divided in two parts, 12005 and 2530, that added together give a triangular number (14535 = T170).

The spelling of 120052530 in words is "one hundred twenty million, fifty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 169 195 234 270 338 351 390 405 507 585 702 810 845 877 1014 1053 1170 1521 1690 1754 1755 2106 2535 2631 3042 3510 4385 4563 5070 5262 5265 7605 7893 8770 9126 10530 11401 13155 13689 15210 15786 22802 22815 23679 26310 27378 34203 39465 45630 47358 57005 68406 68445 71037 78930 102609 114010 118395 136890 142074 148213 171015 205218 236790 296426 307827 342030 355185 444639 513045 615654 710370 741065 889278 923481 1026090 1333917 1482130 1539135 1846962 2223195 2667834 3078270 4001751 4446390 4617405 6669585 8003502 9234810 12005253 13339170 20008755 24010506 40017510 60026265 120052530