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65663430 = 23572192351
BaseRepresentation
bin1111101001111…
…1000111000110
311120120001021220
43322133013012
5113302212210
610303221210
71425062400
oct372370706
9146501256
1065663430
11340799a8
1219ba7806
13107b0a01
148a13b70
155b70c70
hex3e9f1c6

65663430 has 96 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 14212800.

The previous prime is 65663393. The next prime is 65663431. The reversal of 65663430 is 3436656.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 65663391 and 65663400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65663431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26755 + ... + 29105.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 265663430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65663430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

65663430 is an abundant number, since it is smaller than the sum of its proper divisors (127388730).

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

65663430 is a wasteful number, since it uses less digits than its factorization.

65663430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 65663430 is about 8103.2974769534. The cubic root of 65663430 is about 403.4358814599.

The spelling of 65663430 in words is "sixty-five million, six hundred sixty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2351 2793 3990 4655 4702 5586 7053 9310 11755 13965 14106 16457 23510 27930 32914 35265 44669 49371 70530 82285 89338 98742 115199 134007 164570 223345 230398 246855 268014 312683 345597 446690 493710 575995 625366 670035 691194 938049 1151990 1340070 1563415 1727985 1876098 2188781 3126830 3455970 4377562 4690245 6566343 9380490 10943905 13132686 21887810 32831715 65663430