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601161312 = 25312315087
BaseRepresentation
bin100011110101001…
…111111001100000
31112220012011021210
4203311033321200
52212344130222
6135352550120
720616533613
oct4365177140
91486164253
10601161312
11289381434
121493b2340
139771436b
1459baa17a
1537b9bd0c
hex23d4fe60

601161312 has 48 divisors (see below), whose sum is σ = 1579640832. Its totient is φ = 200184960.

The previous prime is 601161307. The next prime is 601161317. The reversal of 601161312 is 213161106.

It is an interprime number because it is at equal distance from previous prime (601161307) and next prime (601161317).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6011613122 = 722789846091122688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601161317) 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, 115633 + ... + 120719.

It is an arithmetic number, because the mean of its divisors is an integer number (32909184).

Almost surely, 2601161312 is an apocalyptic number.

It is an amenable number.

601161312 is an abundant number, since it is smaller than the sum of its proper divisors (978479520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

601161312 is a wasteful number, since it uses less digits than its factorization.

601161312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6331 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 601161312 is about 24518.5911503904. The cubic root of 601161312 is about 843.9764748652.

The spelling of 601161312 in words is "six hundred one million, one hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1231 2462 3693 4924 5087 7386 9848 10174 14772 15261 19696 20348 29544 30522 39392 40696 59088 61044 81392 118176 122088 162784 244176 488352 6262097 12524194 18786291 25048388 37572582 50096776 75145164 100193552 150290328 200387104 300580656 601161312