[go: up one dir, main page]

Search a number
-
+
1400134140 = 2233516315907
BaseRepresentation
bin101001101110100…
…0101100111111100
310121120121011222000
41103131011213330
510331413243030
6350533422300
746460641506
oct12335054774
93546534860
101400134140
11659380559
12330a9a990
131940c7852
14d3d48d76
1582dbe860
hex537459fc

1400134140 has 96 divisors (see below), whose sum is σ = 4382972160. Its totient is φ = 371055168.

The previous prime is 1400134091. The next prime is 1400134147. The reversal of 1400134140 is 414310041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400134147) 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, 80067 + ... + 95973.

It is an arithmetic number, because the mean of its divisors is an integer number (45655960).

Almost surely, 21400134140 is an apocalyptic number.

1400134140 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 1400134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191486080).

1400134140 is an abundant number, since it is smaller than the sum of its proper divisors (2982838020).

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

1400134140 is a wasteful number, since it uses less digits than its factorization.

1400134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16088 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1400134140 is about 37418.3663459537. The cubic root of 1400134140 is about 1118.7246697343.

Adding to 1400134140 its reverse (414310041), we get a palindrome (1814444181).

The spelling of 1400134140 in words is "one billion, four hundred million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 163 180 270 326 489 540 652 815 978 1467 1630 1956 2445 2934 3260 4401 4890 5868 7335 8802 9780 14670 15907 17604 22005 29340 31814 44010 47721 63628 79535 88020 95442 143163 159070 190884 238605 286326 318140 429489 477210 572652 715815 858978 954420 1431630 1717956 2147445 2592841 2863260 4294890 5185682 7778523 8589780 10371364 12964205 15557046 23335569 25928410 31114092 38892615 46671138 51856820 70006707 77785230 93342276 116677845 140013414 155570460 233355690 280026828 350033535 466711380 700067070 1400134140