Search a number
-
+
66719640 = 233513192251
BaseRepresentation
bin1111111010000…
…0111110011000
311122112201010210
43332200332120
5114040012030
610342011120
71440051621
oct376407630
9148481123
1066719640
11347304a9
121a416aa0
1310a906a0
148c0aa48
155ccdbb0
hex3fa0f98

66719640 has 128 divisors (see below), whose sum is σ = 227001600. Its totient is φ = 15552000.

The previous prime is 66719581. The next prime is 66719647. The reversal of 66719640 is 4691766.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66719647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28515 + ... + 30765.

It is an arithmetic number, because the mean of its divisors is an integer number (1773450).

Almost surely, 266719640 is an apocalyptic number.

66719640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66719640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113500800).

66719640 is an abundant number, since it is smaller than the sum of its proper divisors (160281960).

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

66719640 is a wasteful number, since it uses less digits than its factorization.

66719640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 66719640 is about 8168.2091060403. The cubic root of 66719640 is about 405.5875027758.

The spelling of 66719640 in words is "sixty-six million, seven hundred nineteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2251 2280 2470 2964 3705 4502 4940 5928 6753 7410 9004 9880 11255 13506 14820 18008 22510 27012 29263 29640 33765 42769 45020 54024 58526 67530 85538 87789 90040 117052 128307 135060 146315 171076 175578 213845 234104 256614 270120 292630 342152 351156 427690 438945 513228 555997 585260 641535 702312 855380 877890 1026456 1111994 1170520 1283070 1667991 1710760 1755780 2223988 2566140 2779985 3335982 3511560 4447976 5132280 5559970 6671964 8339955 11119940 13343928 16679910 22239880 33359820 66719640