Search a number
-
+
66983070 = 235711107271
BaseRepresentation
bin1111111110000…
…1010010011110
311200001002111110
43333201102132
5114121424240
610351402450
71442226630
oct377412236
9150032443
1066983070
11348a0410
121a523426
1310b5356b
148c78a50
155d31c80
hex3fe149e

66983070 has 128 divisors (see below), whose sum is σ = 203046912. Its totient is φ = 13737600.

The previous prime is 66983047. The next prime is 66983083. The reversal of 66983070 is 7038966.

It is a Curzon number.

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, 247035 + ... + 247305.

It is an arithmetic number, because the mean of its divisors is an integer number (1586304).

Almost surely, 266983070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66983070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101523456).

66983070 is an abundant number, since it is smaller than the sum of its proper divisors (136063842).

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

66983070 is a wasteful number, since it uses less digits than its factorization.

66983070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406.

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

The square root of 66983070 is about 8184.3185421879. The cubic root of 66983070 is about 406.1205972078.

The spelling of 66983070 in words is "sixty-six million, nine hundred eighty-three thousand, seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 107 110 154 165 210 214 231 271 321 330 385 462 535 542 642 749 770 813 1070 1155 1177 1355 1498 1605 1626 1897 2247 2310 2354 2710 2981 3210 3531 3745 3794 4065 4494 5691 5885 5962 7062 7490 8130 8239 8943 9485 11235 11382 11770 14905 16478 17655 17886 18970 20867 22470 24717 28455 28997 29810 35310 41195 41734 44715 49434 56910 57994 62601 82390 86991 89430 104335 123585 125202 144985 173982 202979 208670 247170 289970 313005 318967 405958 434955 608937 626010 637934 869910 956901 1014895 1217874 1594835 1913802 2029790 2232769 3044685 3189670 4465538 4784505 6089370 6698307 9569010 11163845 13396614 22327690 33491535 66983070