Search a number
-
+
67520046 = 23113161541
BaseRepresentation
bin1000000011001…
…00011000101110
311201001101002110
410001210120232
5114241120141
610411104450
71446624306
oct401443056
9151041073
1067520046
11351278a0
121a742126
1310cb0ab9
148d78606
155ddae16
hex406462e

67520046 has 64 divisors (see below), whose sum is σ = 154847232. Its totient is φ = 19440000.

The previous prime is 67520023. The next prime is 67520069. The reversal of 67520046 is 64002576.

It is an interprime number because it is at equal distance from previous prime (67520023) and next prime (67520069).

It is a super-2 number, since 2×675200462 = 9117913223684232, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67519995 and 67520022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124536 + ... + 125076.

It is an arithmetic number, because the mean of its divisors is an integer number (2419488).

Almost surely, 267520046 is an apocalyptic number.

67520046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 67520046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77423616).

67520046 is an abundant number, since it is smaller than the sum of its proper divisors (87327186).

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

67520046 is a wasteful number, since it uses less digits than its factorization.

67520046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 67520046 is about 8217.0582327254. The cubic root of 67520046 is about 407.2029445855.

The spelling of 67520046 in words is "sixty-seven million, five hundred twenty thousand, forty-six".

Divisors: 1 2 3 6 11 22 31 33 61 62 66 93 122 183 186 341 366 541 671 682 1023 1082 1342 1623 1891 2013 2046 3246 3782 4026 5673 5951 11346 11902 16771 17853 20801 33001 33542 35706 41602 50313 62403 66002 99003 100626 124806 184481 198006 363011 368962 553443 726022 1023031 1089033 1106886 2046062 2178066 3069093 6138186 11253341 22506682 33760023 67520046