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120506157 = 334463191
BaseRepresentation
bin1110010111011…
…00011100101101
322101202100101000
413023230130231
5221322144112
615542510513
72662166622
oct713543455
9271670330
10120506157
1162028072
1234435439
131bc73425
141200c349
15a8a57dc
hex72ec72d

120506157 has 8 divisors (see below), whose sum is σ = 178527680. Its totient is φ = 80337420.

The previous prime is 120506147. The next prime is 120506161. The reversal of 120506157 is 751605021.

120506157 is a `hidden beast` number, since 1 + 2 + 0 + 506 + 157 = 666.

It is a de Polignac number, because none of the positive numbers 2k-120506157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4463191 = 120506157 / (1 + 2 + 0 + 5 + 0 + 6 + 1 + 5 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120506157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120506147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2231569 + ... + 2231622.

It is an arithmetic number, because the mean of its divisors is an integer number (22315960).

Almost surely, 2120506157 is an apocalyptic number.

It is an amenable number.

120506157 is a deficient number, since it is larger than the sum of its proper divisors (58021523).

120506157 is an equidigital number, since it uses as much as digits as its factorization.

120506157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463200 (or 4463194 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 120506157 is about 10977.5296401331. The cubic root of 120506157 is about 493.9349368217.

The spelling of 120506157 in words is "one hundred twenty million, five hundred six thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 4463191 13389573 40168719 120506157