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66716920 = 2353761739
BaseRepresentation
bin1111111010000…
…0010011111000
311122112120102001
43332200103320
5114034420140
610341550344
71440040654
oct376402370
9148476361
1066716920
1134729456
121a4153b4
1310a8c38a
148c09a64
155ccce9a
hex3fa04f8

66716920 has 64 divisors (see below), whose sum is σ = 156909600. Its totient is φ = 25505280.

The previous prime is 66716899. The next prime is 66716941. The reversal of 66716920 is 2961766.

It is an interprime number because it is at equal distance from previous prime (66716899) and next prime (66716941).

It is a super-2 number, since 2×667169202 = 8902294828572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 66716920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89911 + ... + 90649.

Almost surely, 266716920 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 66716920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78454800).

66716920 is an abundant number, since it is smaller than the sum of its proper divisors (90192680).

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

66716920 is a wasteful number, since it uses less digits than its factorization.

66716920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 66716920 is about 8168.0426051778. The cubic root of 66716920 is about 405.5819910904.

The spelling of 66716920 in words is "sixty-six million, seven hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 61 74 122 148 185 244 296 305 370 488 610 739 740 1220 1478 1480 2257 2440 2956 3695 4514 5912 7390 9028 11285 14780 18056 22570 27343 29560 45079 45140 54686 90158 90280 109372 136715 180316 218744 225395 273430 360632 450790 546860 901580 1093720 1667923 1803160 3335846 6671692 8339615 13343384 16679230 33358460 66716920