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152124500 = 225311171627
BaseRepresentation
bin10010001000100…
…11110001010100
3101121020201120202
421010103301110
5302420441000
623032320032
73525015443
oct1104236124
9347221522
10152124500
1178963430
1242b43018
1325693bc8
14162bcd5a
15d54ddd5
hex9113c54

152124500 has 96 divisors (see below), whose sum is σ = 383999616. Its totient is φ = 52032000.

The previous prime is 152124493. The next prime is 152124503. The reversal of 152124500 is 5421251.

152124500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1521245003 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152124503) 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, 92687 + ... + 94313.

It is an arithmetic number, because the mean of its divisors is an integer number (3999996).

Almost surely, 2152124500 is an apocalyptic number.

152124500 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 152124500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191999808).

152124500 is an abundant number, since it is smaller than the sum of its proper divisors (231875116).

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

152124500 is a wasteful number, since it uses less digits than its factorization.

152124500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 152124500 is about 12333.8761141824. The cubic root of 152124500 is about 533.8259987544.

Adding to 152124500 its reverse (5421251), we get a palindrome (157545751).

The spelling of 152124500 in words is "one hundred fifty-two million, one hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 125 170 187 220 250 275 340 374 425 500 550 748 850 935 1100 1375 1627 1700 1870 2125 2750 3254 3740 4250 4675 5500 6508 8135 8500 9350 16270 17897 18700 23375 27659 32540 35794 40675 46750 55318 71588 81350 89485 93500 110636 138295 162700 178970 203375 276590 304249 357940 406750 447425 553180 608498 691475 813500 894850 1216996 1382950 1521245 1789700 2237125 2765900 3042490 3457375 4474250 6084980 6914750 7606225 8948500 13829500 15212450 30424900 38031125 76062250 152124500