Search a number
-
+
1138812060 = 2235531572281
BaseRepresentation
bin100001111100000…
…1110010010011100
32221100212122110110
41003320032102130
54313013441220
6305000410020
740135512531
oct10370162234
92840778413
101138812060
115349143a1
12279476910
13151c1c8b9
14ab362d88
1569ea0be0
hex43e0e49c

1138812060 has 96 divisors (see below), whose sum is σ = 3270964032. Its totient is φ = 295925760.

The previous prime is 1138812047. The next prime is 1138812161. The reversal of 1138812060 is 602188311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 498120 + ... + 500400.

It is an arithmetic number, because the mean of its divisors is an integer number (34072542).

Almost surely, 21138812060 is an apocalyptic number.

1138812060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138812060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635482016).

1138812060 is an abundant number, since it is smaller than the sum of its proper divisors (2132151972).

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

1138812060 is a wasteful number, since it uses less digits than its factorization.

1138812060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1138812060 is about 33746.2895738183. The cubic root of 1138812060 is about 1044.2809427259.

The spelling of 1138812060 in words is "one billion, one hundred thirty-eight million, eight hundred twelve thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 157 159 212 265 314 318 471 530 628 636 785 795 942 1060 1570 1590 1884 2281 2355 3140 3180 4562 4710 6843 8321 9124 9420 11405 13686 16642 22810 24963 27372 33284 34215 41605 45620 49926 68430 83210 99852 120893 124815 136860 166420 241786 249630 358117 362679 483572 499260 604465 716234 725358 1074351 1208930 1432468 1450716 1790585 1813395 2148702 2417860 3581170 3626790 4297404 5371755 7162340 7253580 10743510 18980201 21487020 37960402 56940603 75920804 94901005 113881206 189802010 227762412 284703015 379604020 569406030 1138812060