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32106996 = 22332711097
BaseRepresentation
bin111101001111…
…0100111110100
32020102012112000
41322132213310
531204410441
63104055300
7536622255
oct172364764
966365460
1032106996
111713a509
12a904530
13686202c
14439ab2c
152c432b6
hex1e9e9f4

32106996 has 48 divisors (see below), whose sum is σ = 83623680. Its totient is φ = 10653120.

The previous prime is 32106989. The next prime is 32107007. The reversal of 32106996 is 69960123.

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 32106996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28720 + ... + 29816.

It is an arithmetic number, because the mean of its divisors is an integer number (1742160).

Almost surely, 232106996 is an apocalyptic number.

32106996 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 32106996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41811840).

32106996 is an abundant number, since it is smaller than the sum of its proper divisors (51516684).

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

32106996 is a wasteful number, since it uses less digits than its factorization.

32106996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 32106996 is about 5666.3035569937. The cubic root of 32106996 is about 317.8336616725.

The spelling of 32106996 in words is "thirty-two million, one hundred six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 271 542 813 1084 1097 1626 2194 2439 3252 3291 4388 4878 6582 7317 9756 9873 13164 14634 19746 29268 29619 39492 59238 118476 297287 594574 891861 1189148 1783722 2675583 3567444 5351166 8026749 10702332 16053498 32106996