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1003140054 = 232729471201
BaseRepresentation
bin111011110010101…
…011001111010110
32120220120210110100
4323302223033112
54023300440204
6243312434530
733600356400
oct7362531726
92526523410
101003140054
11475278a74
1223bb48a46
1312ca994c7
1497327b70
155d101a39
hex3bcab3d6

1003140054 has 72 divisors (see below), whose sum is σ = 2533099608. Its totient is φ = 286070400.

The previous prime is 1003139993. The next prime is 1003140079. The reversal of 1003140054 is 4500413001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 834654 + ... + 835854.

It is an arithmetic number, because the mean of its divisors is an integer number (35181939).

Almost surely, 21003140054 is an apocalyptic number.

1003140054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003140054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266549804).

1003140054 is an abundant number, since it is smaller than the sum of its proper divisors (1529959554).

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

1003140054 is a wasteful number, since it uses less digits than its factorization.

1003140054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1003140054 is about 31672.3863010036. The cubic root of 1003140054 is about 1001.0455910250.

Adding to 1003140054 its reverse (4500413001), we get a palindrome (5503553055).

The spelling of 1003140054 in words is "one billion, three million, one hundred forty thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 947 1201 1894 2402 2841 3603 5682 6629 7206 8407 8523 10809 13258 16814 17046 19887 21618 25221 39774 46403 50442 58849 59661 75663 92806 117698 119322 139209 151326 176547 278418 353094 417627 529641 835254 1059282 1137347 2274694 3412041 6824082 7961429 10236123 15922858 20472246 23884287 47768574 55730003 71652861 111460006 143305722 167190009 334380018 501570027 1003140054