Search a number
-
+
1014135500 = 22537833491
BaseRepresentation
bin111100011100100…
…111101011001100
32121200021102101002
4330130213223030
54034104314000
6244344235432
734063003160
oct7434475314
92550242332
101014135500
114804a9014
1224376bb78
131321491a1
149898aca0
155e0748d5
hex3c727acc

1014135500 has 96 divisors (see below), whose sum is σ = 2562513408. Its totient is φ = 343416000.

The previous prime is 1014135467. The next prime is 1014135523. The reversal of 1014135500 is 55314101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288755 + ... + 292245.

It is an arithmetic number, because the mean of its divisors is an integer number (26692848).

Almost surely, 21014135500 is an apocalyptic number.

1014135500 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 1014135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281256704).

1014135500 is an abundant number, since it is smaller than the sum of its proper divisors (1548377908).

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

1014135500 is a wasteful number, since it uses less digits than its factorization.

1014135500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1014135500 is about 31845.4941867763. The cubic root of 1014135500 is about 1004.6898046824.

Adding to 1014135500 its reverse (55314101), we get a palindrome (1069449601).

The spelling of 1014135500 in words is "one billion, fourteen million, one hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 125 140 166 175 250 332 350 415 500 581 700 830 875 1162 1660 1750 2075 2324 2905 3491 3500 4150 5810 6982 8300 10375 11620 13964 14525 17455 20750 24437 29050 34910 41500 48874 58100 69820 72625 87275 97748 122185 145250 174550 244370 289753 290500 349100 436375 488740 579506 610925 872750 1159012 1221850 1448765 1745500 2028271 2443700 2897530 3054625 4056542 5795060 6109250 7243825 8113084 10141355 12218500 14487650 20282710 28975300 36219125 40565420 50706775 72438250 101413550 144876500 202827100 253533875 507067750 1014135500