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66640896 = 2103271033
BaseRepresentation
bin1111111000110…
…1110000000000
311122101201010100
43332031300000
5114030002041
610340202400
71436303220
oct376156000
9148351110
1066640896
1134687323
121a399400
1310a638aa
148bca080
155cb56b6
hex3f8dc00

66640896 has 132 divisors (see below), whose sum is σ = 220126192. Its totient is φ = 19021824.

The previous prime is 66640883. The next prime is 66640943. The reversal of 66640896 is 69804666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63996 + ... + 65028.

Almost surely, 266640896 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 66640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110063096).

66640896 is an abundant number, since it is smaller than the sum of its proper divisors (153485296).

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

66640896 is a wasteful number, since it uses less digits than its factorization.

66640896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 66640896 is about 8163.3875321462. The cubic root of 66640896 is about 405.4278788378.

The spelling of 66640896 in words is "sixty-six million, six hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1033 1152 1344 1536 1792 2016 2066 2304 2688 3072 3099 3584 4032 4132 4608 5376 6198 7168 7231 8064 8264 9216 9297 10752 12396 14462 16128 16528 18594 21504 21693 24792 28924 32256 33056 37188 43386 49584 57848 64512 65079 66112 74376 86772 99168 115696 130158 132224 148752 173544 198336 231392 260316 264448 297504 347088 396672 462784 520632 528896 595008 694176 793344 925568 1041264 1057792 1190016 1388352 1586688 1851136 2082528 2380032 2776704 3173376 3702272 4165056 4760064 5553408 7404544 8330112 9520128 11106816 16660224 22213632 33320448 66640896