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66889340 = 2257372349
BaseRepresentation
bin1111111100101…
…0011001111100
311122212022220222
43333022121330
5114110424330
610345400512
71441356440
oct377123174
9148768828
1066889340
1134836a51
121a499138
1310b1c9bb
148c52820
155d140e5
hex3fca67c

66889340 has 72 divisors (see below), whose sum is σ = 165463200. Its totient is φ = 22249728.

The previous prime is 66889337. The next prime is 66889343. The reversal of 66889340 is 4398866.

It is an interprime number because it is at equal distance from previous prime (66889337) and next prime (66889343).

It is a junction number, because it is equal to n+sod(n) for n = 66889291 and 66889300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66889343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191486 + ... + 191834.

It is an arithmetic number, because the mean of its divisors is an integer number (2298100).

Almost surely, 266889340 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 66889340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82731600).

66889340 is an abundant number, since it is smaller than the sum of its proper divisors (98573860).

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

66889340 is a wasteful number, since it uses less digits than its factorization.

66889340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 66889340 is about 8178.5903430848. The cubic root of 66889340 is about 405.9310794057.

The spelling of 66889340 in words is "sixty-six million, eight hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 349 370 518 698 740 1036 1295 1369 1396 1745 2443 2590 2738 3490 4886 5180 5476 6845 6980 9583 9772 12215 12913 13690 19166 24430 25826 27380 38332 47915 48860 51652 64565 90391 95830 129130 180782 191660 258260 361564 451955 477781 903910 955562 1807820 1911124 2388905 3344467 4777810 6688934 9555620 13377868 16722335 33444670 66889340