Search a number
-
+
101539340 = 225743101167
BaseRepresentation
bin1100000110101…
…01111000001100
321002001201210022
412003111320030
5201443224330
614024201312
72342033030
oct603257014
9232051708
10101539340
1152353011
122a009238
1318062366
14d6b21c0
158daaae5
hex60d5e0c

101539340 has 96 divisors (see below), whose sum is σ = 253338624. Its totient is φ = 33465600.

The previous prime is 101539313. The next prime is 101539349. The reversal of 101539340 is 43935101.

It is not an unprimeable number, because it can be changed into a prime (101539349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607937 + ... + 608103.

It is an arithmetic number, because the mean of its divisors is an integer number (2638944).

Almost surely, 2101539340 is an apocalyptic number.

101539340 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 101539340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126669312).

101539340 is an abundant number, since it is smaller than the sum of its proper divisors (151799284).

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

101539340 is a wasteful number, since it uses less digits than its factorization.

101539340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 101539340 is about 10076.6730620776. The cubic root of 101539340 is about 466.5284273078.

The spelling of 101539340 in words is "one hundred one million, five hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 101 140 167 172 202 215 301 334 404 430 505 602 668 707 835 860 1010 1169 1204 1414 1505 1670 2020 2338 2828 3010 3340 3535 4343 4676 5845 6020 7070 7181 8686 11690 14140 14362 16867 17372 21715 23380 28724 30401 33734 35905 43430 50267 60802 67468 71810 84335 86860 100534 118069 121604 143620 152005 168670 201068 236138 251335 304010 337340 472276 502670 590345 608020 725281 1005340 1180690 1450562 2361380 2901124 3626405 5076967 7252810 10153934 14505620 20307868 25384835 50769670 101539340