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152533240 = 23523374481
BaseRepresentation
bin10010001011101…
…11100011111000
3101122000111021021
421011313203320
5303022030430
623045152224
73531340216
oct1105674370
9348014237
10152533240
1179112532
12430bb674
13257a7c72
1416387cb6
15d5d007a
hex91778f8

152533240 has 64 divisors (see below), whose sum is σ = 367882560. Its totient is φ = 56770560.

The previous prime is 152533201. The next prime is 152533247. The reversal of 152533240 is 42335251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152533247) 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, 31800 + ... + 36280.

It is an arithmetic number, because the mean of its divisors is an integer number (5748165).

Almost surely, 2152533240 is an apocalyptic number.

152533240 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 152533240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183941280).

152533240 is an abundant number, since it is smaller than the sum of its proper divisors (215349320).

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

152533240 is a wasteful number, since it uses less digits than its factorization.

152533240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 152533240 is about 12350.4348101595. The cubic root of 152533240 is about 534.3036796624.

Adding to 152533240 its reverse (42335251), we get a palindrome (194868491).

The spelling of 152533240 in words is "one hundred fifty-two million, five hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 115 148 184 185 230 296 370 460 740 851 920 1480 1702 3404 4255 4481 6808 8510 8962 17020 17924 22405 34040 35848 44810 89620 103063 165797 179240 206126 331594 412252 515315 663188 824504 828985 1030630 1326376 1657970 2061260 3315940 3813331 4122520 6631880 7626662 15253324 19066655 30506648 38133310 76266620 152533240