Search a number
-
+
5438976120 = 2333515732077
BaseRepresentation
bin1010001000011000…
…00011000001111000
3112001001101121121000
411010030003001320
542114334213440
62255412045000
7251532351144
oct50414030170
915031347530
105438976120
112341184296
121079603760
13688a98986
143984d0224
1521c768730
hex144303078

5438976120 has 128 divisors (see below), whose sum is σ = 18245966400. Its totient is φ = 1441110528.

The previous prime is 5438976091. The next prime is 5438976167. The reversal of 5438976120 is 216798345.

5438976120 is a `hidden beast` number, since 5 + 438 + 97 + 6 + 120 = 666.

5438976120 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54389761202 = 59164922467860508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

5438976120 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153522 + ... + 185598.

It is a 1-persistent number, because it is pandigital, but 2⋅5438976120 = 10877952240 is not.

Almost surely, 25438976120 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 5438976120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9122983200).

5438976120 is an abundant number, since it is smaller than the sum of its proper divisors (12806990280).

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

5438976120 is a wasteful number, since it uses less digits than its factorization.

5438976120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32254 (or 32244 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5438976120 is about 73749.4143705562. The cubic root of 5438976120 is about 1758.6215230685.

The spelling of 5438976120 in words is "five billion, four hundred thirty-eight million, nine hundred seventy-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 157 180 216 270 314 360 471 540 628 785 942 1080 1256 1413 1570 1884 2355 2826 3140 3768 4239 4710 5652 6280 7065 8478 9420 11304 14130 16956 18840 21195 28260 32077 33912 42390 56520 64154 84780 96231 128308 160385 169560 192462 256616 288693 320770 384924 481155 577386 641540 769848 866079 962310 1154772 1283080 1443465 1732158 1924620 2309544 2886930 3464316 3849240 4330395 5036089 5773860 6928632 8660790 10072178 11547720 15108267 17321580 20144356 25180445 30216534 34643160 40288712 45324801 50360890 60433068 75541335 90649602 100721780 120866136 135974403 151082670 181299204 201443560 226624005 271948806 302165340 362598408 453248010 543897612 604330680 679872015 906496020 1087795224 1359744030 1812992040 2719488060 5438976120