Search a number
-
+
1027621364 = 2271111232971
BaseRepresentation
bin111101010000000…
…100000111110100
32122121122120111112
4331100010013310
54101032340424
6245545254152
734315431440
oct7520040764
92577576445
101027621364
1148807a160
12248194358
13134b8b5a3
149a69b820
156033a60e
hex3d4041f4

1027621364 has 48 divisors (see below), whose sum is σ = 2244834816. Its totient is φ = 399880800.

The previous prime is 1027621333. The next prime is 1027621367. The reversal of 1027621364 is 4631267201.

It is a self number, because there is not a number n which added to its sum of digits gives 1027621364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027621367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344399 + ... + 347369.

It is an arithmetic number, because the mean of its divisors is an integer number (46767392).

Almost surely, 21027621364 is an apocalyptic number.

1027621364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1027621364 is an abundant number, since it is smaller than the sum of its proper divisors (1217213452).

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

1027621364 is a wasteful number, since it uses less digits than its factorization.

1027621364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1027621364 is about 32056.5338737675. The cubic root of 1027621364 is about 1009.1236276007.

Adding to 1027621364 its reverse (4631267201), we get a palindrome (5658888565).

The spelling of 1027621364 in words is "one billion, twenty-seven million, six hundred twenty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 1123 2246 2971 4492 5942 7861 11884 12353 15722 20797 24706 31444 32681 41594 49412 65362 83188 86471 130724 172942 228767 345884 457534 915068 3336433 6672866 13345732 23355031 36700763 46710062 73401526 93420124 146803052 256905341 513810682 1027621364