Search a number
-
+
63235890 = 235553491
BaseRepresentation
bin1111000100111…
…0011100110010
311101222201100000
43301032130302
5112142022030
610135210430
71365332124
oct361163462
9141881300
1063235890
1132771073
1219216a16
1310140ab3
148581214
155841860
hex3c4e732

63235890 has 96 divisors (see below), whose sum is σ = 174073536. Its totient is φ = 16511040.

The previous prime is 63235859. The next prime is 63235891. The reversal of 63235890 is 9853236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63235891) 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, 128545 + ... + 129035.

It is an arithmetic number, because the mean of its divisors is an integer number (1813266).

Almost surely, 263235890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63235890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87036768).

63235890 is an abundant number, since it is smaller than the sum of its proper divisors (110837646).

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

63235890 is a wasteful number, since it uses less digits than its factorization.

63235890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 63235890 is about 7952.0997227147. The cubic root of 63235890 is about 398.4017264768.

The spelling of 63235890 in words is "sixty-three million, two hundred thirty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 491 530 795 810 954 982 1215 1431 1473 1590 2385 2430 2455 2862 2946 4293 4419 4770 4910 7155 7365 8586 8838 12879 13257 14310 14730 21465 22095 25758 26023 26514 39771 42930 44190 52046 64395 66285 78069 79542 119313 128790 130115 132570 156138 198855 234207 238626 260230 390345 397710 468414 596565 702621 780690 1171035 1193130 1405242 2107863 2342070 3513105 4215726 6323589 7026210 10539315 12647178 21078630 31617945 63235890