Search a number
-
+
5436896640 = 27357404531
BaseRepresentation
bin1010001000001000…
…00111010110000000
3112000220110222002020
411010010013112000
542113321143030
62255255321440
7251505600420
oct50404072600
915026428066
105436896640
11233aa93a0a
121078980280
1368851b306
1439810c480
1521c4a7510
hex144107580

5436896640 has 128 divisors (see below), whose sum is σ = 19805886720. Its totient is φ = 1242716160.

The previous prime is 5436896629. The next prime is 5436896671. The reversal of 5436896640 is 466986345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188826 + ... + 215705.

It is an arithmetic number, because the mean of its divisors is an integer number (154733490).

Almost surely, 25436896640 is an apocalyptic number.

It is an amenable number.

5436896640 is an abundant number, since it is smaller than the sum of its proper divisors (14368990080).

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

5436896640 is a wasteful number, since it uses less digits than its factorization.

5436896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404560 (or 404548 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The square root of 5436896640 is about 73735.3147413097. The cubic root of 5436896640 is about 1758.3973703134.

The spelling of 5436896640 in words is "five billion, four hundred thirty-six million, eight hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 404531 809062 1213593 1618124 2022655 2427186 2831717 3236248 4045310 4854372 5663434 6067965 6472496 8090620 8495151 9708744 11326868 12135930 12944992 14158585 16181240 16990302 19417488 22653736 24271860 25889984 28317170 32362480 33980604 38834976 42475755 45307472 48543720 51779968 56634340 64724960 67961208 77669952 84951510 90614944 97087440 113268680 129449920 135922416 155339904 169903020 181229888 194174880 226537360 258899840 271844832 339806040 362459776 388349760 453074720 543689664 679612080 776699520 906149440 1087379328 1359224160 1812298880 2718448320 5436896640