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540152151 = 37117929599
BaseRepresentation
bin100000001100100…
…001000101010111
31101122101120110020
4200030201011113
52101234332101
6125333200223
716246134420
oct4014410527
91348346406
10540152151
112579a1340
12130a90073
1387ba2c76
1451a48647
153264a136
hex20321157

540152151 has 32 divisors (see below), whose sum is σ = 909312000. Its totient is φ = 277037280.

The previous prime is 540152143. The next prime is 540152201. The reversal of 540152151 is 151251045.

It is not a de Polignac number, because 540152151 - 23 = 540152143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540152351) 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, 3450 + ... + 33048.

It is an arithmetic number, because the mean of its divisors is an integer number (28416000).

Almost surely, 2540152151 is an apocalyptic number.

540152151 is a deficient number, since it is larger than the sum of its proper divisors (369159849).

540152151 is a wasteful number, since it uses less digits than its factorization.

540152151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29699.

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 540152151 is about 23241.1736149447. The cubic root of 540152151 is about 814.4017595288.

The spelling of 540152151 in words is "five hundred forty million, one hundred fifty-two thousand, one hundred fifty-one".

Divisors: 1 3 7 11 21 33 77 79 231 237 553 869 1659 2607 6083 18249 29599 88797 207193 325589 621579 976767 2279123 2338321 6837369 7014963 16368247 25721531 49104741 77164593 180050717 540152151