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5206107140 = 22513313971627
BaseRepresentation
bin1001101100100111…
…01110010000000100
3111102211012122101222
410312103232100010
541130230412030
62220332535512
7243004115633
oct46623562004
914384178358
105206107140
112231791393
121013621598
1364c773890
143755d351a
152070ba3e5
hex1364ee404

5206107140 has 96 divisors (see below), whose sum is σ = 12191714304. Its totient is φ = 1854420480.

The previous prime is 5206107131. The next prime is 5206107191. The reversal of 5206107140 is 417016025.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3199007 + ... + 3200633.

It is an arithmetic number, because the mean of its divisors is an integer number (126997024).

Almost surely, 25206107140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5206107140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095857152).

5206107140 is an abundant number, since it is smaller than the sum of its proper divisors (6985607164).

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

5206107140 is a wasteful number, since it uses less digits than its factorization.

5206107140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 5206107140 is about 72153.3584803923. The cubic root of 5206107140 is about 1733.1561816815.

The spelling of 5206107140 in words is "five billion, two hundred six million, one hundred seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 397 403 620 794 806 1588 1612 1627 1985 2015 3254 3970 4030 5161 6508 7940 8060 8135 10322 12307 16270 20644 21151 24614 25805 32540 42302 49228 50437 51610 61535 84604 100874 103220 105755 123070 159991 201748 211510 246140 252185 319982 423020 504370 639964 645919 655681 799955 1008740 1291838 1311362 1599910 2583676 2622724 3199820 3229595 3278405 6459190 6556810 8396947 12918380 13113620 16793894 20023489 33587788 40046978 41984735 80093956 83969470 100117445 167938940 200234890 260305357 400469780 520610714 1041221428 1301526785 2603053570 5206107140