Search a number
-
+
742006128 = 24323672107
BaseRepresentation
bin101100001110100…
…001110101110000
31220201012211001110
4230032201311300
53004423144003
6201343433320
724246643113
oct5416416560
91821184043
10742006128
11350930206
121885b5840
13ba9590a6
147079057a
154521da03
hex2c3a1d70

742006128 has 40 divisors (see below), whose sum is σ = 2000193408. Its totient is φ = 236581312.

The previous prime is 742006121. The next prime is 742006147. The reversal of 742006128 is 821600247.

It is a junction number, because it is equal to n+sod(n) for n = 742006095 and 742006104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742006121) 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, 334950 + ... + 337157.

Almost surely, 2742006128 is an apocalyptic number.

It is an amenable number.

742006128 is an abundant number, since it is smaller than the sum of its proper divisors (1258187280).

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

742006128 is a wasteful number, since it uses less digits than its factorization.

742006128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672141 (or 672135 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 742006128 is about 27239.7894264989. The cubic root of 742006128 is about 905.3207975188.

The spelling of 742006128 in words is "seven hundred forty-two million, six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 672107 1344214 2016321 2688428 4032642 5376856 8065284 10753712 15458461 16130568 30916922 32261136 46375383 61833844 92750766 123667688 185501532 247335376 371003064 742006128