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152120045 = 57112341419
BaseRepresentation
bin10010001000100…
…10101011101101
3101121020111110202
421010102223231
5302420320140
623032243245
73524666450
oct1104225355
9347214422
10152120045
1178960050
1242b40525
1325691b7c
14162bb497
15d54c915
hex9112aed

152120045 has 64 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 88281600.

The previous prime is 152120027. The next prime is 152120047. The reversal of 152120045 is 540021251.

It is not a de Polignac number, because 152120045 - 28 = 152119789 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 152119999 and 152120026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152120047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362846 + ... + 363264.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2152120045 is an apocalyptic number.

It is an amenable number.

152120045 is a deficient number, since it is larger than the sum of its proper divisors (91735315).

152120045 is a wasteful number, since it uses less digits than its factorization.

152120045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

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

The square root of 152120045 is about 12333.6955127002. The cubic root of 152120045 is about 533.8207876323.

Adding to 152120045 its reverse (540021251), we get a palindrome (692141296).

The spelling of 152120045 in words is "one hundred fifty-two million, one hundred twenty thousand, forty-five".

Divisors: 1 5 7 11 23 35 41 55 77 115 161 205 253 287 385 419 451 805 943 1265 1435 1771 2095 2255 2933 3157 4609 4715 6601 8855 9637 10373 14665 15785 17179 23045 32263 33005 48185 51865 67459 72611 85895 106007 120253 161315 188969 337295 363055 395117 530035 601265 742049 944845 1322783 1975585 2765819 3710245 4346287 6613915 13829095 21731435 30424009 152120045