Search a number
-
+
1012064544 = 2534557701
BaseRepresentation
bin111100010100101…
…110000100100000
32121112101012120000
4330110232010200
54033042031134
6244232020000
734036256331
oct7424560440
92545335500
101012064544
1147a314087
12242b31600
131318a267a
14985ac288
155dcb5e99
hex3c52e120

1012064544 has 120 divisors (see below), whose sum is σ = 2986051068. Its totient is φ = 336268800.

The previous prime is 1012064539. The next prime is 1012064549. The reversal of 1012064544 is 4454602101.

1012064544 is a `hidden beast` number, since 1 + 0 + 1 + 206 + 454 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1012064539) and next prime (1012064549).

It can be written as a sum of positive squares in 2 ways, for example, as 1010476944 + 1587600 = 31788^2 + 1260^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1012064549) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1443394 + ... + 1444094.

Almost surely, 21012064544 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 1012064544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493025534).

1012064544 is an abundant number, since it is smaller than the sum of its proper divisors (1973986524).

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

1012064544 is an equidigital number, since it uses as much as digits as its factorization.

1012064544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1012064544 is about 31812.9618866273. The cubic root of 1012064544 is about 1004.0054496194.

Adding to 1012064544 its reverse (4454602101), we get a palindrome (5466666645).

The spelling of 1012064544 in words is "one billion, twelve million, sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 557 648 701 864 1114 1296 1402 1671 2103 2228 2592 2804 3342 4206 4456 5013 5608 6309 6684 8412 8912 10026 11216 12618 13368 15039 16824 17824 18927 20052 22432 25236 26736 30078 33648 37854 40104 45117 50472 53472 56781 60156 67296 75708 80208 90234 100944 113562 120312 151416 160416 180468 201888 227124 240624 302832 360936 390457 454248 481248 605664 721872 780914 908496 1171371 1443744 1561828 1816992 2342742 3123656 3514113 4685484 6247312 7028226 9370968 10542339 12494624 14056452 18741936 21084678 28112904 31627017 37483872 42169356 56225808 63254034 84338712 112451616 126508068 168677424 253016136 337354848 506032272 1012064544