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100234000 = 2453232179
BaseRepresentation
bin1011111100101…
…11001100010000
320222121102012101
411332113030100
5201124442000
613540210144
72324655256
oct576271420
9228542171
10100234000
1151641319
1229699954
13179c6179
14d4525d6
158bede6a
hex5f97310

100234000 has 80 divisors (see below), whose sum is σ = 253019520. Its totient is φ = 38332800.

The previous prime is 100233961. The next prime is 100234003. The reversal of 100234000 is 432001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100234003) 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, 44911 + ... + 47089.

It is an arithmetic number, because the mean of its divisors is an integer number (3162744).

Almost surely, 2100234000 is an apocalyptic number.

100234000 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 100234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126509760).

100234000 is an abundant number, since it is smaller than the sum of its proper divisors (152785520).

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

100234000 is a wasteful number, since it uses less digits than its factorization.

100234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 100234000 is about 10011.6931634964. The cubic root of 100234000 is about 464.5206452626.

Adding to 100234000 its reverse (432001), we get a palindrome (100666001).

The spelling of 100234000 in words is "one hundred million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2179 2300 2875 4358 4600 5750 8716 9200 10895 11500 17432 21790 23000 34864 43580 46000 50117 54475 87160 100234 108950 174320 200468 217900 250585 272375 400936 435800 501170 544750 801872 871600 1002340 1089500 1252925 2004680 2179000 2505850 4009360 4358000 5011700 6264625 10023400 12529250 20046800 25058500 50117000 100234000