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66939750 = 2335347211
BaseRepresentation
bin1111111101011…
…0101101100110
311122221220002000
43333112231212
5114114033000
610350430130
71441656423
oct377265546
9148856060
1066939750
1134870909
121a502346
1310b39927
148c66d4a
155d24000
hex3fd6b66

66939750 has 128 divisors (see below), whose sum is σ = 190494720. Its totient is φ = 17388000.

The previous prime is 66939739. The next prime is 66939787. The reversal of 66939750 is 5793966.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 66939696 and 66939705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317145 + ... + 317355.

It is an arithmetic number, because the mean of its divisors is an integer number (1488240).

Almost surely, 266939750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66939750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95247360).

66939750 is an abundant number, since it is smaller than the sum of its proper divisors (123554970).

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

66939750 is a wasteful number, since it uses less digits than its factorization.

66939750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 66939750 is about 8181.6715895959. The cubic root of 66939750 is about 406.0330281235.

The spelling of 66939750 in words is "sixty-six million, nine hundred thirty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 90 94 125 135 141 150 211 225 235 250 270 282 375 422 423 450 470 633 675 705 750 846 1055 1125 1175 1266 1269 1350 1410 1899 2110 2115 2250 2350 2538 3165 3375 3525 3798 4230 5275 5697 5875 6330 6345 6750 7050 9495 9917 10550 10575 11394 11750 12690 15825 17625 18990 19834 21150 26375 28485 29751 31650 31725 35250 47475 49585 52750 52875 56970 59502 63450 79125 89253 94950 99170 105750 142425 148755 158250 158625 178506 237375 247925 267759 284850 297510 317250 446265 474750 495850 535518 712125 743775 892530 1239625 1338795 1424250 1487550 2231325 2479250 2677590 3718875 4462650 6693975 7437750 11156625 13387950 22313250 33469875 66939750