Search a number
-
+
100423296 = 2732179487
BaseRepresentation
bin1011111110001…
…01011010000000
320222222000212100
411333011122000
5201202021141
613544230400
72326404201
oct577053200
9228860770
10100423296
1151760566
122976b400
1317a6138c
14d4a15a8
158c3a0b6
hex5fc5680

100423296 has 96 divisors (see below), whose sum is σ = 291189600. Its totient is φ = 33219072.

The previous prime is 100423241. The next prime is 100423327. The reversal of 100423296 is 692324001.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205965 + ... + 206451.

It is an arithmetic number, because the mean of its divisors is an integer number (3033225).

Almost surely, 2100423296 is an apocalyptic number.

100423296 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 100423296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145594800).

100423296 is an abundant number, since it is smaller than the sum of its proper divisors (190766304).

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

100423296 is a wasteful number, since it uses less digits than its factorization.

100423296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 100423296 is about 10021.1424498407. The cubic root of 100423296 is about 464.8128834377.

Adding to 100423296 its reverse (692324001), we get a palindrome (792747297).

The spelling of 100423296 in words is "one hundred million, four hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 288 358 384 487 537 576 716 974 1074 1152 1432 1461 1611 1948 2148 2864 2922 3222 3896 4296 4383 5728 5844 6444 7792 8592 8766 11456 11688 12888 15584 17184 17532 22912 23376 25776 31168 34368 35064 46752 51552 62336 68736 70128 87173 93504 103104 140256 174346 187008 206208 261519 280512 348692 523038 561024 697384 784557 1046076 1394768 1569114 2092152 2789536 3138228 4184304 5579072 6276456 8368608 11158144 12552912 16737216 25105824 33474432 50211648 100423296