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120645345 = 35171937673
BaseRepresentation
bin1110011000011…
…10011011100001
322102000102022010
413030032123201
5221341122340
615545503133
72663316462
oct714163341
9272012263
10120645345
11621126a7
12344a1aa9
131bcc18a2
1412046d69
15a8d1b80
hex730e6e1

120645345 has 64 divisors (see below), whose sum is σ = 221287680. Its totient is φ = 55738368.

The previous prime is 120645337. The next prime is 120645347. The reversal of 120645345 is 543546021.

It is not a de Polignac number, because 120645345 - 23 = 120645337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120645347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178929 + ... + 179601.

It is an arithmetic number, because the mean of its divisors is an integer number (3457620).

Almost surely, 2120645345 is an apocalyptic number.

120645345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120645345 is a deficient number, since it is larger than the sum of its proper divisors (100642335).

120645345 is a wasteful number, since it uses less digits than its factorization.

120645345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 120645345 is about 10983.8674882757. The cubic root of 120645345 is about 494.1250332321.

The spelling of 120645345 in words is "one hundred twenty million, six hundred forty-five thousand, three hundred forty-five".

Divisors: 1 3 5 15 17 19 37 51 57 85 95 111 185 255 285 323 555 629 673 703 969 1615 1887 2019 2109 3145 3365 3515 4845 9435 10095 10545 11441 11951 12787 24901 34323 35853 38361 57205 59755 63935 74703 124505 171615 179265 191805 217379 373515 423317 473119 652137 1086895 1269951 1419357 2116585 2365595 3260685 6349755 7096785 8043023 24129069 40215115 120645345