Search a number
-
+
152313540 = 223517314817
BaseRepresentation
bin10010001010000…
…01111011000100
3101121121022220020
421011001323010
5302443013130
623040335140
73526433541
oct1105017304
9347538806
10152313540
1178a82465
12430144b0
132572bc72
141632bbc8
15d589e10
hex9141ec4

152313540 has 96 divisors (see below), whose sum is σ = 466228224. Its totient is φ = 36986880.

The previous prime is 152313533. The next prime is 152313541. The reversal of 152313540 is 45313251.

It is a self number, because there is not a number n which added to its sum of digits gives 152313540.

It is not an unprimeable number, because it can be changed into a prime (152313541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29212 + ... + 34028.

It is an arithmetic number, because the mean of its divisors is an integer number (4856544).

Almost surely, 2152313540 is an apocalyptic number.

152313540 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 152313540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233114112).

152313540 is an abundant number, since it is smaller than the sum of its proper divisors (313914684).

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

152313540 is a wasteful number, since it uses less digits than its factorization.

152313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 152313540 is about 12341.5371814049. The cubic root of 152313540 is about 534.0470297622.

Adding to 152313540 its reverse (45313251), we get a palindrome (197626791).

The spelling of 152313540 in words is "one hundred fifty-two million, three hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1860 2108 2635 3162 4817 5270 6324 7905 9634 10540 14451 15810 19268 24085 28902 31620 48170 57804 72255 81889 96340 144510 149327 163778 245667 289020 298654 327556 409445 447981 491334 597308 746635 818890 895962 982668 1228335 1493270 1637780 1791924 2239905 2456670 2538559 2986540 4479810 4913340 5077118 7615677 8959620 10154236 12692795 15231354 25385590 30462708 38078385 50771180 76156770 152313540