Search a number
-
+
100664832 = 29365537
BaseRepresentation
bin1100000000000…
…00011000000000
321000102022012010
412000000120000
5201232233312
613553332520
72331431322
oct600003000
9230368163
10100664832
1151905a84
1229867140
1317b172b8
14d525612
158c8693c
hex6000600

100664832 has 40 divisors (see below), whose sum is σ = 268181496. Its totient is φ = 33554432.

The previous prime is 100664819. The next prime is 100664857. The reversal of 100664832 is 238466001.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100664832.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 100664832 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31233 + ... + 34304.

Almost surely, 2100664832 is an apocalyptic number.

100664832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100664832 is an abundant number, since it is smaller than the sum of its proper divisors (167516664).

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

100664832 is an frugal number, since it uses more digits than its factorization.

100664832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65558 (or 65542 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 100664832 is about 10033.1865327024. The cubic root of 100664832 is about 465.1852377954.

The spelling of 100664832 in words is "one hundred million, six hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 65537 131074 196611 262148 393222 524296 786444 1048592 1572888 2097184 3145776 4194368 6291552 8388736 12583104 16777472 25166208 33554944 50332416 100664832