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100327416 = 23373471721
BaseRepresentation
bin1011111101011…
…01111111111000
320222210011100020
411332231333320
5201140434131
613542210440
72325524520
oct576557770
9228704306
10100327416
11516a5522
1229723a20
1317a29847
14d478680
158c1b996
hex5fadff8

100327416 has 64 divisors (see below), whose sum is σ = 287642880. Its totient is φ = 28565760.

The previous prime is 100327411. The next prime is 100327427. The reversal of 100327416 is 614723001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100327411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57436 + ... + 59156.

It is an arithmetic number, because the mean of its divisors is an integer number (4494420).

Almost surely, 2100327416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100327416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143821440).

100327416 is an abundant number, since it is smaller than the sum of its proper divisors (187315464).

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

100327416 is a wasteful number, since it uses less digits than its factorization.

100327416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 100327416 is about 10016.3574217377. The cubic root of 100327416 is about 464.6649083101.

The spelling of 100327416 in words is "one hundred million, three hundred twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 347 694 1041 1388 1721 2082 2429 2776 3442 4164 4858 5163 6884 7287 8328 9716 10326 12047 13768 14574 19432 20652 24094 29148 36141 41304 48188 58296 72282 96376 144564 289128 597187 1194374 1791561 2388748 3583122 4180309 4777496 7166244 8360618 12540927 14332488 16721236 25081854 33442472 50163708 100327416