Search a number
-
+
5370953984 = 28113675197
BaseRepresentation
bin1010000000010001…
…00100000100000000
3111212022101201202122
411000020210010000
541444431011414
62244542103412
7250045232654
oct50010440400
914768351678
105370953984
112306844250
12105a87ab68
136779704a6
1438d464a64
152167cdb8e
hex140224100

5370953984 has 72 divisors (see below), whose sum is σ = 11729682048. Its totient is φ = 2434222080.

The previous prime is 5370953983. The next prime is 5370953989. The reversal of 5370953984 is 4893590735.

It is not an unprimeable number, because it can be changed into a prime (5370953983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030874 + ... + 1036070.

Almost surely, 25370953984 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 5370953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864841024).

5370953984 is an abundant number, since it is smaller than the sum of its proper divisors (6358728064).

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

5370953984 is a wasteful number, since it uses less digits than its factorization.

5370953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 53.

The square root of 5370953984 is about 73286.7926982755. The cubic root of 5370953984 is about 1751.2593910375.

The spelling of 5370953984 in words is "five billion, three hundred seventy million, nine hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 367 704 734 1408 1468 2816 2936 4037 5197 5872 8074 10394 11744 16148 20788 23488 32296 41576 46976 57167 64592 83152 93952 114334 129184 166304 228668 258368 332608 457336 516736 665216 914672 1033472 1330432 1829344 1907299 3658688 3814598 7317376 7629196 14634752 15258392 20980289 30516784 41960578 61033568 83921156 122067136 167842312 244134272 335684624 488268544 671369248 1342738496 2685476992 5370953984