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100404320 = 2551813467
BaseRepresentation
bin1011111110000…
…00110001100000
320222221001211112
411333000301200
5201200414240
613544002452
72326264652
oct577006140
9228831745
10100404320
1151748285
1229760428
1317a55853
14d4986d2
158c34665
hex5fc0c60

100404320 has 48 divisors (see below), whose sum is σ = 238584528. Its totient is φ = 39928320.

The previous prime is 100404299. The next prime is 100404331. The reversal of 100404320 is 23404001.

It is a junction number, because it is equal to n+sod(n) for n = 100404295 and 100404304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27227 + ... + 30693.

It is an arithmetic number, because the mean of its divisors is an integer number (4970511).

Almost surely, 2100404320 is an apocalyptic number.

100404320 is a gapful number since it is divisible by the number (10) 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 100404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119292264).

100404320 is an abundant number, since it is smaller than the sum of its proper divisors (138180208).

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

100404320 is a wasteful number, since it uses less digits than its factorization.

100404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 100404320 is about 10020.1956068732. The cubic root of 100404320 is about 464.7836045577.

Adding to 100404320 its reverse (23404001), we get a palindrome (123808321).

The spelling of 100404320 in words is "one hundred million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1810 2896 3467 3620 5792 6934 7240 13868 14480 17335 27736 28960 34670 55472 69340 110944 138680 277360 554720 627527 1255054 2510108 3137635 5020216 6275270 10040432 12550540 20080864 25101080 50202160 100404320