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1005140130 = 235175413643
BaseRepresentation
bin111011111010010…
…011100010100010
32121001100102001020
4323322103202202
54024303441010
6243423350310
733623356461
oct7372234242
92531312036
101005140130
11476414725
12240752396
13130319997
14976c89d8
155d399470
hex3be938a2

1005140130 has 64 divisors (see below), whose sum is σ = 2559662208. Its totient is φ = 251735040.

The previous prime is 1005140119. The next prime is 1005140137. The reversal of 1005140130 is 310415001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1005140137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274089 + ... + 277731.

It is an arithmetic number, because the mean of its divisors is an integer number (39994722).

Almost surely, 21005140130 is an apocalyptic number.

1005140130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005140130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279831104).

1005140130 is an abundant number, since it is smaller than the sum of its proper divisors (1554522078).

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

1005140130 is a wasteful number, since it uses less digits than its factorization.

1005140130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1005140130 is about 31703.9450226624. The cubic root of 1005140130 is about 1001.7104493616.

Adding to 1005140130 its reverse (310415001), we get a palindrome (1315555131).

The spelling of 1005140130 in words is "one billion, five million, one hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 541 1082 1623 2705 3246 3643 5410 7286 8115 9197 10929 16230 18215 18394 21858 27591 36430 45985 54645 55182 61931 91970 109290 123862 137955 185793 275910 309655 371586 619310 928965 1857930 1970863 3941726 5912589 9854315 11825178 19708630 29562945 33504671 59125890 67009342 100514013 167523355 201028026 335046710 502570065 1005140130