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66656240 = 2457373217
BaseRepresentation
bin1111111001000…
…1011111110000
311122102111011122
43332101133300
5114030444430
610340401412
71436366030
oct376213760
9148374148
1066656240
1134697902
121a3a6268
1310a6a881
148bd18c0
155cb9ee5
hex3f917f0

66656240 has 80 divisors (see below), whose sum is σ = 181958592. Its totient is φ = 22228992.

The previous prime is 66656209. The next prime is 66656243. The reversal of 66656240 is 4265666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 66656240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66656243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19112 + ... + 22328.

Almost surely, 266656240 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 66656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90979296).

66656240 is an abundant number, since it is smaller than the sum of its proper divisors (115302352).

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

66656240 is a wasteful number, since it uses less digits than its factorization.

66656240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 66656240 is about 8164.3272839837. The cubic root of 66656240 is about 405.4589929051.

The spelling of 66656240 in words is "sixty-six million, six hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2590 2960 3217 4144 5180 6434 10360 12868 16085 20720 22519 25736 32170 45038 51472 64340 90076 112595 119029 128680 180152 225190 238058 257360 360304 450380 476116 595145 833203 900760 952232 1190290 1666406 1801520 1904464 2380580 3332812 4166015 4761160 6665624 8332030 9522320 13331248 16664060 33328120 66656240