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66896632 = 23111797461
BaseRepresentation
bin1111111100110…
…0001011111000
311122212200221001
43333030023320
5114111143012
610345454344
71441416625
oct377141370
9148780831
1066896632
1134841480
121a4a13b4
1310b2310a
148c5534c
155d16357
hex3fcc2f8

66896632 has 64 divisors (see below), whose sum is σ = 146694240. Its totient is φ = 28262400.

The previous prime is 66896623. The next prime is 66896639. The reversal of 66896632 is 23669866.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66896639) 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, 144882 + ... + 145342.

Almost surely, 266896632 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 66896632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73347120).

66896632 is an abundant number, since it is smaller than the sum of its proper divisors (79797608).

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

66896632 is a wasteful number, since it uses less digits than its factorization.

66896632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its digits is 559872, while the sum is 46.

The square root of 66896632 is about 8179.0361290313. The cubic root of 66896632 is about 405.9458298471.

It can be divided in two parts, 66896 and 632, that added together give a triangular number (67528 = T367).

The spelling of 66896632 in words is "sixty-six million, eight hundred ninety-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 97 136 187 194 374 388 461 748 776 922 1067 1496 1649 1844 2134 3298 3688 4268 5071 6596 7837 8536 10142 13192 15674 18139 20284 31348 36278 40568 44717 62696 72556 86207 89434 145112 172414 178868 344828 357736 491887 689656 760189 983774 1520378 1967548 3040756 3935096 6081512 8362079 16724158 33448316 66896632