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100084734 = 234679221
BaseRepresentation
bin1011111011100…
…10101111111110
320222022211110000
411331302233332
5201110202414
613533055130
72323464141
oct575625776
9228284400
10100084734
115154a162
12296274a6
1317973249
14d414058
158bbeb09
hex5f72bfe

100084734 has 40 divisors (see below), whose sum is σ = 227635848. Its totient is φ = 32860080.

The previous prime is 100084727. The next prime is 100084739. The reversal of 100084734 is 437480001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100084698 and 100084707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100084739) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6244 + ... + 15464.

Almost surely, 2100084734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100084734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113817924).

100084734 is an abundant number, since it is smaller than the sum of its proper divisors (127551114).

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

100084734 is an equidigital number, since it uses as much as digits as its factorization.

100084734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 100084734 is about 10004.2358028987. The cubic root of 100084734 is about 464.2899464793.

The spelling of 100084734 in words is "one hundred million, eighty-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 402 603 1206 1809 3618 5427 9221 10854 18442 27663 55326 82989 165978 248967 497934 617807 746901 1235614 1493802 1853421 3706842 5560263 11120526 16680789 33361578 50042367 100084734