Search a number
-
+
66980700 = 223252193917
BaseRepresentation
bin1111111110000…
…0101101011100
311200000222020200
43333200231130
5114121340300
610351343500
71442220003
oct377405534
9150028220
1066980700
1134899656
121a521b90
1310b52467
148c77c3a
155d31200
hex3fe0b5c

66980700 has 108 divisors (see below), whose sum is σ = 221053560. Its totient is φ = 16917120.

The previous prime is 66980657. The next prime is 66980717. The reversal of 66980700 is 708966.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15142 + ... + 19058.

Almost surely, 266980700 is an apocalyptic number.

66980700 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 66980700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110526780).

66980700 is an abundant number, since it is smaller than the sum of its proper divisors (154072860).

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

66980700 is a wasteful number, since it uses less digits than its factorization.

66980700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 66980700 is about 8184.1737518213. The cubic root of 66980700 is about 406.1158073548.

The spelling of 66980700 in words is "sixty-six million, nine hundred eighty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 3917 4275 5700 7834 8550 11751 15668 17100 19585 23502 35253 39170 47004 58755 70506 74423 78340 97925 117510 141012 148846 176265 195850 223269 235020 293775 297692 352530 372115 391700 446538 587550 669807 705060 744230 881325 893076 1116345 1175100 1339614 1488460 1762650 1860575 2232690 2679228 3349035 3525300 3721150 4465380 5581725 6698070 7442300 11163450 13396140 16745175 22326900 33490350 66980700