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65430072 = 233319107149
BaseRepresentation
bin1111100110011…
…0001000111000
311120010012012000
43321212020320
5113222230242
610254221000
71423101141
oct371461070
9146105160
1065430072
1133a2a644
1219ab4760
131072b726
148992ac8
155b26a4c
hex3e66238

65430072 has 128 divisors (see below), whose sum is σ = 194400000. Its totient is φ = 20331648.

The previous prime is 65430067. The next prime is 65430077. The reversal of 65430072 is 27003456.

It is a happy number.

65430072 is a `hidden beast` number, since 654 + 3 + 0 + 0 + 7 + 2 = 666.

65430072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65430067) and next prime (65430077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65430077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439054 + ... + 439202.

It is an arithmetic number, because the mean of its divisors is an integer number (1518750).

Almost surely, 265430072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65430072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200000).

65430072 is an abundant number, since it is smaller than the sum of its proper divisors (128969928).

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

65430072 is a wasteful number, since it uses less digits than its factorization.

65430072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 65430072 is about 8088.8857081801. The cubic root of 65430072 is about 402.9573972825.

The spelling of 65430072 in words is "sixty-five million, four hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 107 108 114 149 152 171 214 216 228 298 321 342 428 447 456 513 596 642 684 856 894 963 1026 1192 1284 1341 1368 1788 1926 2033 2052 2568 2682 2831 2889 3576 3852 4023 4066 4104 5364 5662 5778 6099 7704 8046 8132 8493 10728 11324 11556 12198 15943 16092 16264 16986 18297 22648 23112 24396 25479 31886 32184 33972 36594 47829 48792 50958 54891 63772 67944 73188 76437 95658 101916 109782 127544 143487 146376 152874 191316 203832 219564 286974 302917 305748 382632 430461 439128 573948 605834 611496 860922 908751 1147896 1211668 1721844 1817502 2423336 2726253 3443688 3635004 5452506 7270008 8178759 10905012 16357518 21810024 32715036 65430072