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100083384 = 2333563823
BaseRepresentation
bin1011111011100…
…10011010111000
320222022202121000
411331302122320
5201110132014
613533045000
72323460202
oct575623270
9228282530
10100083384
1151549145
1229626760
131797274b
14d413772
158bbe509
hex5f726b8

100083384 has 64 divisors (see below), whose sum is σ = 278841600. Its totient is φ = 33261408.

The previous prime is 100083353. The next prime is 100083391. The reversal of 100083384 is 483380001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121197 + ... + 122019.

It is an arithmetic number, because the mean of its divisors is an integer number (4356900).

Almost surely, 2100083384 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 100083384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139420800).

100083384 is an abundant number, since it is smaller than the sum of its proper divisors (178758216).

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

100083384 is a wasteful number, since it uses less digits than its factorization.

100083384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100083384 is about 10004.1683312507. The cubic root of 100083384 is about 464.2878589340.

The spelling of 100083384 in words is "one hundred million, eighty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 563 823 1126 1646 1689 2252 2469 3292 3378 4504 4938 5067 6584 6756 7407 9876 10134 13512 14814 15201 19752 20268 22221 29628 30402 40536 44442 59256 60804 88884 121608 177768 463349 926698 1390047 1853396 2780094 3706792 4170141 5560188 8340282 11120376 12510423 16680564 25020846 33361128 50041692 100083384