Search a number
-
+
153242560 = 2652347443
BaseRepresentation
bin10010010001001…
…00101111000000
3101200100112021101
421020210233000
5303212230220
623112304144
73540353212
oct1110445700
9350315241
10153242560
1179557449
12433a2054
1325995a93
14164d05b2
15d6c030a
hex9224bc0

153242560 has 112 divisors (see below), whose sum is σ = 389753856. Its totient is φ = 57254912.

The previous prime is 153242527. The next prime is 153242561. The reversal of 153242560 is 65242351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153242561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345699 + ... + 346141.

Almost surely, 2153242560 is an apocalyptic number.

153242560 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 153242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194876928).

153242560 is an abundant number, since it is smaller than the sum of its proper divisors (236511296).

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

153242560 is a wasteful number, since it uses less digits than its factorization.

153242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 153242560 is about 12379.1179007230. The cubic root of 153242560 is about 535.1306170730.

The spelling of 153242560 in words is "one hundred fifty-three million, two hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 47 64 80 92 94 115 160 184 188 230 235 320 368 376 443 460 470 736 752 886 920 940 1081 1472 1504 1772 1840 1880 2162 2215 3008 3544 3680 3760 4324 4430 5405 7088 7360 7520 8648 8860 10189 10810 14176 15040 17296 17720 20378 20821 21620 28352 34592 35440 40756 41642 43240 50945 69184 70880 81512 83284 86480 101890 104105 141760 163024 166568 172960 203780 208210 326048 333136 345920 407560 416420 478883 652096 666272 815120 832840 957766 1332544 1630240 1665680 1915532 2394415 3260480 3331360 3831064 4788830 6662720 7662128 9577660 15324256 19155320 30648512 38310640 76621280 153242560