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152342320 = 24513372107
BaseRepresentation
bin10010001010010…
…00111100110000
3101121122210101011
421011020330300
5302444423240
623041120304
73526613464
oct1105107460
9347583334
10152342320
1178aa2049
1243029094
132573c0b0
14163384a4
15d5936ea
hex9148f30

152342320 has 120 divisors (see below), whose sum is σ = 395693424. Its totient is φ = 54217728.

The previous prime is 152342273. The next prime is 152342327. The reversal of 152342320 is 23243251.

It is a junction number, because it is equal to n+sod(n) for n = 152342291 and 152342300.

It is not an unprimeable number, because it can be changed into a prime (152342327) 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 23 ways as a sum of consecutive naturals, for example, 1423707 + ... + 1423813.

Almost surely, 2152342320 is an apocalyptic number.

152342320 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 152342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197846712).

152342320 is an abundant number, since it is smaller than the sum of its proper divisors (243351104).

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

152342320 is a wasteful number, since it uses less digits than its factorization.

152342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 152342320 is about 12342.7031075044. The cubic root of 152342320 is about 534.0806641227.

Adding to 152342320 its reverse (23243251), we get a palindrome (175585571).

The spelling of 152342320 in words is "one hundred fifty-two million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 107 130 148 185 208 214 260 296 370 428 481 520 535 592 740 856 962 1040 1070 1369 1391 1480 1712 1924 2140 2405 2738 2782 2960 3848 3959 4280 4810 5476 5564 6845 6955 7696 7918 8560 9620 10952 11128 13690 13910 15836 17797 19240 19795 21904 22256 27380 27820 31672 35594 38480 39590 51467 54760 55640 63344 71188 79180 88985 102934 109520 111280 142376 146483 158360 177970 205868 257335 284752 292966 316720 355940 411736 514670 585932 711880 732415 823472 1029340 1171864 1423760 1464830 1904279 2058680 2343728 2929660 3808558 4117360 5859320 7617116 9521395 11718640 15234232 19042790 30468464 38085580 76171160 152342320