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66983250 = 2353314367
BaseRepresentation
bin1111111110000…
…1010101010010
311200001002202010
43333201111102
5114121431000
610351403350
71442230305
oct377412522
9150032663
1066983250
11348a0564
121a523556
1310b53679
148c78b3c
155d31d50
hex3fe1552

66983250 has 128 divisors (see below), whose sum is σ = 179232768. Its totient is φ = 16632000.

The previous prime is 66983233. The next prime is 66983251. The reversal of 66983250 is 5238966.

It is a junction number, because it is equal to n+sod(n) for n = 66983199 and 66983208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66983251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999717 + ... + 999783.

It is an arithmetic number, because the mean of its divisors is an integer number (1400256).

Almost surely, 266983250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66983250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89616384).

66983250 is an abundant number, since it is smaller than the sum of its proper divisors (112249518).

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

66983250 is a wasteful number, since it uses less digits than its factorization.

66983250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 66983250 is about 8184.3295388199. The cubic root of 66983250 is about 406.1209609895.

The spelling of 66983250 in words is "sixty-six million, nine hundred eighty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 43 50 62 67 75 86 93 125 129 134 150 155 186 201 215 250 258 310 335 375 402 430 465 645 670 750 775 930 1005 1075 1290 1333 1550 1675 2010 2077 2150 2325 2666 2881 3225 3350 3875 3999 4154 4650 5025 5375 5762 6231 6450 6665 7750 7998 8375 8643 10050 10385 10750 11625 12462 13330 14405 16125 16750 17286 19995 20770 23250 25125 28810 31155 32250 33325 39990 43215 50250 51925 62310 66650 72025 86430 89311 99975 103850 144050 155775 166625 178622 199950 216075 259625 267933 311550 333250 360125 432150 446555 499875 519250 535866 720250 778875 893110 999750 1080375 1339665 1557750 2160750 2232775 2679330 4465550 6698325 11163875 13396650 22327750 33491625 66983250