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134204100 = 223522691663
BaseRepresentation
bin1111111111111…
…00101011000100
3100100112021102020
413333330223010
5233324012400
621152243140
73216500412
oct777745304
9310467366
10134204100
1169833588
1238b404b0
1321a5b214
1413b762b2
15bbae2a0
hex7ffcac4

134204100 has 72 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 35633280.

The previous prime is 134204093. The next prime is 134204101. The reversal of 134204100 is 1402431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 134204100.

It is not an unprimeable number, because it can be changed into a prime (134204101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79869 + ... + 81531.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2134204100 is an apocalyptic number.

134204100 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 134204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

134204100 is an abundant number, since it is smaller than the sum of its proper divisors (255770940).

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

134204100 is a wasteful number, since it uses less digits than its factorization.

134204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 134204100 is about 11584.6493257241. The cubic root of 134204100 is about 511.9826705153.

Adding to 134204100 its reverse (1402431), we get a palindrome (135606531).

The spelling of 134204100 in words is "one hundred thirty-four million, two hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 269 300 538 807 1076 1345 1614 1663 2690 3228 3326 4035 4989 5380 6652 6725 8070 8315 9978 13450 16140 16630 19956 20175 24945 26900 33260 40350 41575 49890 80700 83150 99780 124725 166300 249450 447347 498900 894694 1342041 1789388 2236735 2684082 4473470 5368164 6710205 8946940 11183675 13420410 22367350 26840820 33551025 44734700 67102050 134204100