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152500023 = 33132191759
BaseRepresentation
bin10010001011011…
…11011100110111
3101121221210201000
421011233130313
5303020000043
623044334343
73531141324
oct1105573467
9347853630
10152500023
117909a585
12430a43b3
1325795b00
1416379b4b
15d5c52d3
hex916f737

152500023 has 48 divisors (see below), whose sum is σ = 257664000. Its totient is φ = 88856352.

The previous prime is 152500021. The next prime is 152500037. The reversal of 152500023 is 320005251.

It is a happy number.

It is not a de Polignac number, because 152500023 - 21 = 152500021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152499969 and 152500005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152500021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85818 + ... + 87576.

It is an arithmetic number, because the mean of its divisors is an integer number (5368000).

Almost surely, 2152500023 is an apocalyptic number.

152500023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

152500023 is a deficient number, since it is larger than the sum of its proper divisors (105163977).

152500023 is a wasteful number, since it uses less digits than its factorization.

152500023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 152500023 is about 12349.0899664712. The cubic root of 152500023 is about 534.2648919337.

Adding to 152500023 its reverse (320005251), we get a palindrome (472505274).

The spelling of 152500023 in words is "one hundred fifty-two million, five hundred thousand, twenty-three".

Divisors: 1 3 9 13 19 27 39 57 117 169 171 247 351 507 513 741 1521 1759 2223 3211 4563 5277 6669 9633 15831 22867 28899 33421 47493 68601 86697 100263 205803 297271 300789 434473 617409 891813 902367 1303419 2675439 3910257 5648149 8026317 11730771 16944447 50833341 152500023