Search a number
-
+
1899427712 = 27713179911
BaseRepresentation
bin111000100110110…
…1111011110000000
311220101002220222112
41301031233132000
512342223141322
6512251154452
765032604060
oct16115573600
94811086875
101899427712
118951a5176
12450145a28
13243693230
141403993a0
15b1b485e2
hex7136f780

1899427712 has 128 divisors (see below), whose sum is σ = 4688409600. Its totient is φ = 746403840.

The previous prime is 1899427681. The next prime is 1899427757. The reversal of 1899427712 is 2177249981.

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

It is a super-2 number, since 2×18994277122 = 7215651266227109888, which contains 22 as substring.

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, 2084537 + ... + 2085447.

It is an arithmetic number, because the mean of its divisors is an integer number (36628200).

Almost surely, 21899427712 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 1899427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344204800).

1899427712 is an abundant number, since it is smaller than the sum of its proper divisors (2788981888).

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

1899427712 is a wasteful number, since it uses less digits than its factorization.

1899427712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its digits is 508032, while the sum is 50.

The square root of 1899427712 is about 43582.4243474362. The cubic root of 1899427712 is about 1238.4379637466.

The spelling of 1899427712 in words is "one billion, eight hundred ninety-nine million, four hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 179 182 208 224 358 364 416 448 716 728 832 896 911 1253 1432 1456 1664 1822 2327 2506 2864 2912 3644 4654 5012 5728 5824 6377 7288 9308 10024 11456 11648 11843 12754 14576 16289 18616 20048 22912 23686 25508 29152 32578 37232 40096 47372 51016 58304 65156 74464 80192 82901 94744 102032 116608 130312 148928 160384 163069 165802 189488 204064 260624 297856 326138 331604 378976 408128 521248 652276 663208 757952 816256 1042496 1141483 1304552 1326416 1515904 2084992 2119897 2282966 2609104 2652832 4239794 4565932 5218208 5305664 8479588 9131864 10436416 10611328 14839279 16959176 18263728 20872832 29678558 33918352 36527456 59357116 67836704 73054912 118714232 135673408 146109824 237428464 271346816 474856928 949713856 1899427712