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100663296 = 2253
BaseRepresentation
bin1100000000000…
…00000000000000
321000102020002020
412000000000000
5201232211141
613553321440
72331423666
oct600000000
9230366066
10100663296
1151904908
1229866280
1317b166a6
14d524c36
158c86266
hex6000000

100663296 has 52 divisors (see below), whose sum is σ = 268435452. Its totient is φ = 33554432.

The previous prime is 100663291. The next prime is 100663319. The reversal of 100663296 is 692366001.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)22.

It is an ABA number since it can be written as A⋅BA, here for A=6, B=16.

It is a nialpdrome in base 2, base 8 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100663291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 100663296 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33554431 + 33554432 + 33554433.

Almost surely, 2100663296 is an apocalyptic number.

100663296 is a gapful number since it is divisible by the number (16) 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 100663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134217726).

100663296 is an abundant number, since it is smaller than the sum of its proper divisors (167772156).

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

100663296 is an frugal number, since it uses more digits than its factorization.

100663296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 100663296 is about 10033.1099864399. The cubic root of 100663296 is about 465.1828717650.

The spelling of 100663296 in words is "one hundred million, six hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65536 98304 131072 196608 262144 393216 524288 786432 1048576 1572864 2097152 3145728 4194304 6291456 8388608 12582912 16777216 25165824 33554432 50331648 100663296