Search a number
-
+
32063796 = 22333161157
BaseRepresentation
bin111101001010…
…0000100110100
32020100000021000
41322110010310
531202020141
63103123300
7536352312
oct172240464
966300230
1032063796
1117110006
12a8a3530
13684847b
1443890b2
152c355b6
hex1e94134

32063796 has 96 divisors (see below), whose sum is σ = 87772160. Its totient is φ = 10108800.

The previous prime is 32063791. The next prime is 32063803. The reversal of 32063796 is 69736023.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32063796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32063791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204150 + ... + 204306.

Almost surely, 232063796 is an apocalyptic number.

32063796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32063796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43886080).

32063796 is an abundant number, since it is smaller than the sum of its proper divisors (55708364).

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

32063796 is a wasteful number, since it uses less digits than its factorization.

32063796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 32063796 is about 5662.4902648923. The cubic root of 32063796 is about 317.6910491726.

The spelling of 32063796 in words is "thirty-two million, sixty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 61 62 93 108 122 124 157 183 186 244 279 314 366 372 471 549 558 628 732 837 942 1098 1116 1413 1647 1674 1884 1891 2196 2826 3294 3348 3782 4239 4867 5652 5673 6588 7564 8478 9577 9734 11346 14601 16956 17019 19154 19468 22692 28731 29202 34038 38308 43803 51057 57462 58404 68076 86193 87606 102114 114924 131409 172386 175212 204228 258579 262818 296887 344772 517158 525636 593774 890661 1034316 1187548 1781322 2671983 3562644 5343966 8015949 10687932 16031898 32063796