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152340320 = 25511101857
BaseRepresentation
bin10010001010010…
…00011101100000
3101121122200122002
421011020131200
5302444342240
623041103132
73526604606
oct1105103540
9347580562
10152340320
1178aa05a0
1243027aa8
132573b202
1416337876
15d592d15
hex9148760

152340320 has 96 divisors (see below), whose sum is σ = 396972576. Its totient is φ = 54784000.

The previous prime is 152340313. The next prime is 152340323. The reversal of 152340320 is 23043251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152340292 and 152340301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152340323) 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, 177332 + ... + 178188.

It is an arithmetic number, because the mean of its divisors is an integer number (4135131).

Almost surely, 2152340320 is an apocalyptic number.

152340320 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 152340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198486288).

152340320 is an abundant number, since it is smaller than the sum of its proper divisors (244632256).

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

152340320 is a wasteful number, since it uses less digits than its factorization.

152340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 152340320 is about 12342.6220877089. The cubic root of 152340320 is about 534.0783269171.

Adding to 152340320 its reverse (23043251), we get a palindrome (175383571).

The spelling of 152340320 in words is "one hundred fifty-two million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 857 880 1010 1111 1616 1714 1760 2020 2222 3232 3428 4040 4285 4444 5555 6856 8080 8570 8888 9427 11110 13712 16160 17140 17776 18854 22220 27424 34280 35552 37708 44440 47135 68560 75416 86557 88880 94270 137120 150832 173114 177760 188540 301664 346228 377080 432785 692456 754160 865570 952127 1384912 1508320 1731140 1904254 2769824 3462280 3808508 4760635 6924560 7617016 9521270 13849120 15234032 19042540 30468064 38085080 76170160 152340320