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66923840 = 265283739
BaseRepresentation
bin1111111101001…
…0110101000000
311122221002020202
43333102311000
5114113030330
610350224332
71441562144
oct377226500
9148832222
1066923840
113485a965
121a4b50a8
1310b32609
148c61224
155d1e445
hex3fd2d40

66923840 has 56 divisors (see below), whose sum is σ = 160141920. Its totient is φ = 26638848.

The previous prime is 66923827. The next prime is 66923869. The reversal of 66923840 is 4832966.

It is a junction number, because it is equal to n+sod(n) for n = 66923794 and 66923803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90191 + ... + 90929.

Almost surely, 266923840 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 66923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80070960).

66923840 is an abundant number, since it is smaller than the sum of its proper divisors (93218080).

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

66923840 is a wasteful number, since it uses less digits than its factorization.

66923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 66923840 is about 8180.6992366179. The cubic root of 66923840 is about 406.0008574161. Note that the first 3 decimals are identical.

The spelling of 66923840 in words is "sixty-six million, nine hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 283 320 566 739 1132 1415 1478 2264 2830 2956 3695 4528 5660 5912 7390 9056 11320 11824 14780 18112 22640 23648 29560 45280 47296 59120 90560 118240 209137 236480 418274 836548 1045685 1673096 2091370 3346192 4182740 6692384 8365480 13384768 16730960 33461920 66923840