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101434840 = 23513972011
BaseRepresentation
bin1100000101111…
…00010111011000
321001212102102221
412002330113120
5201431403330
614022033424
72341116253
oct602742730
9231772387
10101434840
1152291551
1229b78874
1318026920
14d68609a
158d89b7a
hex60bc5d8

101434840 has 64 divisors (see below), whose sum is σ = 248441760. Its totient is φ = 37048320.

The previous prime is 101434831. The next prime is 101434843. The reversal of 101434840 is 48434101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49435 + ... + 51445.

Almost surely, 2101434840 is an apocalyptic number.

101434840 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 101434840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124220880).

101434840 is an abundant number, since it is smaller than the sum of its proper divisors (147006920).

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

101434840 is a wasteful number, since it uses less digits than its factorization.

101434840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 101434840 is about 10071.4864841293. The cubic root of 101434840 is about 466.3683285887.

Adding to 101434840 its reverse (48434101), we get a palindrome (149868941).

The spelling of 101434840 in words is "one hundred one million, four hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 97 104 130 194 260 388 485 520 776 970 1261 1940 2011 2522 3880 4022 5044 6305 8044 10055 10088 12610 16088 20110 25220 26143 40220 50440 52286 80440 104572 130715 195067 209144 261430 390134 522860 780268 975335 1045720 1560536 1950670 2535871 3901340 5071742 7802680 10143484 12679355 20286968 25358710 50717420 101434840