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66723426 = 2357111783
BaseRepresentation
bin1111111010000…
…1111001100010
311122112220100000
43332201321202
5114040122201
610342040430
71440065640
oct376417142
9148486300
1066723426
1134733330
121a419116
1310a92323
148c0c190
155cced86
hex3fa1e62

66723426 has 96 divisors (see below), whose sum is σ = 187020288. Its totient is φ = 17321040.

The previous prime is 66723413. The next prime is 66723431. The reversal of 66723426 is 62432766.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36531 + ... + 38313.

It is an arithmetic number, because the mean of its divisors is an integer number (1948128).

Almost surely, 266723426 is an apocalyptic number.

66723426 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 66723426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93510144).

66723426 is an abundant number, since it is smaller than the sum of its proper divisors (120296862).

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

66723426 is a wasteful number, since it uses less digits than its factorization.

66723426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1806 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 66723426 is about 8168.4408549000. The cubic root of 66723426 is about 405.5951743062.

The spelling of 66723426 in words is "sixty-six million, seven hundred twenty-three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 1783 2079 2673 3402 3566 4158 5346 5349 6237 10698 12474 12481 16047 18711 19613 24962 32094 37422 37443 39226 48141 58839 74886 96282 112329 117678 137291 144423 176517 224658 274582 288846 336987 353034 411873 433269 529551 673974 823746 866538 1010961 1059102 1235619 1588653 2021922 2471238 3032883 3177306 3706857 4765959 6065766 7413714 9531918 11120571 22241142 33361713 66723426