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10534434000 = 243531755739
BaseRepresentation
bin10011100111110011…
…01011010011010000
31000012011101200202020
421303321223103100
5133033303342000
64501153251440
7522024132366
oct116371532320
930164350666
1010534434000
114516460202
12205bb63b80
13cbb63a7cc
1471d11d636
15419c78ba0
hex273e6b4d0

10534434000 has 80 divisors (see below), whose sum is σ = 33963034560. Its totient is φ = 2809180800.

The previous prime is 10534433993. The next prime is 10534434007. The reversal of 10534434000 is 43443501.

It is an interprime number because it is at equal distance from previous prime (10534433993) and next prime (10534434007).

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

It is a super-2 number, since 2×105344340002 (a number of 21 digits) contains 22 as substring.

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 (10534434007) 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, 871870 + ... + 883869.

It is an arithmetic number, because the mean of its divisors is an integer number (424537932).

Almost surely, 210534434000 is an apocalyptic number.

10534434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10534434000 is an abundant number, since it is smaller than the sum of its proper divisors (23428600560).

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

10534434000 is a wasteful number, since it uses less digits than its factorization.

10534434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755765 (or 1755749 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 10534434000 its reverse (43443501), we get a palindrome (10577877501).

The spelling of 10534434000 in words is "ten billion, five hundred thirty-four million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 1755739 3511478 5267217 7022956 8778695 10534434 14045912 17557390 21068868 26336085 28091824 35114780 42137736 43893475 52672170 70229560 84275472 87786950 105344340 131680425 140459120 175573900 210688680 219467375 263360850 351147800 421377360 438934750 526721700 658402125 702295600 877869500 1053443400 1316804250 1755739000 2106886800 2633608500 3511478000 5267217000 10534434000