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101434240 = 275179323
BaseRepresentation
bin1100000101111…
…00001110000000
321001212101121201
412002330032000
5201431343430
614022030544
72341114435
oct602741600
9231771551
10101434240
1152291056
1229b78454
131802657b
14d685b8c
158d898ca
hex60bc380

101434240 has 64 divisors (see below), whose sum is σ = 256782960. Its totient is φ = 38182912.

The previous prime is 101434231. The next prime is 101434243. The reversal of 101434240 is 42434101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6219 + ... + 15541.

Almost surely, 2101434240 is an apocalyptic number.

101434240 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 101434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128391480).

101434240 is an abundant number, since it is smaller than the sum of its proper divisors (155348720).

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

101434240 is an equidigital number, since it uses as much as digits as its factorization.

101434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 101434240 is about 10071.4566970225. The cubic root of 101434240 is about 466.3674090442.

Adding to 101434240 its reverse (42434101), we get a palindrome (143868341).

The spelling of 101434240 in words is "one hundred one million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 9323 10880 18646 37292 46615 74584 93230 149168 158491 186460 298336 316982 372920 596672 633964 745840 792455 1193344 1267928 1491680 1584910 2535856 2983360 3169820 5071712 5966720 6339640 10143424 12679280 20286848 25358560 50717120 101434240