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1410034120 = 235118936007
BaseRepresentation
bin101010000001011…
…0110100111001000
310122021020011011221
41110002312213020
510341432042440
6351525531424
746641043435
oct12402664710
93567204157
101410034120
11663a22560
12334273b74
13196182a21
14d53a4b8c
1583bc7d4a
hex540b69c8

1410034120 has 64 divisors (see below), whose sum is σ = 3499977600. Its totient is φ = 506964480.

The previous prime is 1410034103. The next prime is 1410034121. The reversal of 1410034120 is 214300141.

It is a junction number, because it is equal to n+sod(n) for n = 1410034094 and 1410034103.

It is not an unprimeable number, because it can be changed into a prime (1410034121) 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, 21157 + ... + 57163.

It is an arithmetic number, because the mean of its divisors is an integer number (54687150).

Almost surely, 21410034120 is an apocalyptic number.

1410034120 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 1410034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749988800).

1410034120 is an abundant number, since it is smaller than the sum of its proper divisors (2089943480).

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

1410034120 is a wasteful number, since it uses less digits than its factorization.

1410034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36118 (or 36114 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1410034120 is about 37550.4210362547. The cubic root of 1410034120 is about 1121.3552153767.

Adding to 1410034120 its reverse (214300141), we get a palindrome (1624334261).

The spelling of 1410034120 in words is "one billion, four hundred ten million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 440 445 712 890 979 1780 1958 3560 3916 4895 7832 9790 19580 36007 39160 72014 144028 180035 288056 360070 396077 720140 792154 1440280 1584308 1980385 3168616 3204623 3960770 6409246 7921540 12818492 15843080 16023115 25636984 32046230 35250853 64092460 70501706 128184920 141003412 176254265 282006824 352508530 705017060 1410034120