Search a number
-
+
252148260 = 223571346181
BaseRepresentation
bin11110000011101…
…11101000100100
3122120110110101110
433001313220210
51004022221020
641004225020
76151140060
oct1701675044
9576413343
10252148260
1111a3707a1
127053b170
1340315470
14256b8aa0
151720a8e0
hexf077a24

252148260 has 96 divisors (see below), whose sum is σ = 868960512. Its totient is φ = 53199360.

The previous prime is 252148249. The next prime is 252148261. The reversal of 252148260 is 62841252.

252148260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (252148261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17631 + ... + 28550.

It is an arithmetic number, because the mean of its divisors is an integer number (9051672).

Almost surely, 2252148260 is an apocalyptic number.

252148260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252148260 is an abundant number, since it is smaller than the sum of its proper divisors (616812252).

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

252148260 is a wasteful number, since it uses less digits than its factorization.

252148260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46213 (or 46211 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 252148260 is about 15879.1769308110. The cubic root of 252148260 is about 631.7598063110.

The spelling of 252148260 in words is "two hundred fifty-two million, one hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 46181 92362 138543 184724 230905 277086 323267 461810 554172 600353 646534 692715 923620 969801 1200706 1293068 1385430 1616335 1801059 1939602 2401412 2770860 3001765 3232670 3602118 3879204 4202471 4849005 6003530 6465340 7204236 8404942 9005295 9698010 12007060 12607413 16809884 18010590 19396020 21012355 25214826 36021180 42024710 50429652 63037065 84049420 126074130 252148260