Search a number
-
+
1023541056 = 26334114447
BaseRepresentation
bin111101000000011…
…111111101000000
32122022222021101000
4331000133331000
54044011303211
6245322012000
734235645466
oct7500377500
92568867330
101023541056
114858425aa
12246947000
131340902c5
1499d18836
155ecd1656
hex3d01ff40

1023541056 has 112 divisors (see below), whose sum is σ = 3082625280. Its totient is φ = 332835840.

The previous prime is 1023541037. The next prime is 1023541061. The reversal of 1023541056 is 6501453201.

1023541056 is a `hidden beast` number, since 10 + 235 + 410 + 5 + 6 = 666.

1023541056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 63625 + ... + 78071.

It is an arithmetic number, because the mean of its divisors is an integer number (27523440).

Almost surely, 21023541056 is an apocalyptic number.

1023541056 is a gapful number since it is divisible by the number (16) 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 1023541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541312640).

1023541056 is an abundant number, since it is smaller than the sum of its proper divisors (2059084224).

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

1023541056 is a wasteful number, since it uses less digits than its factorization.

1023541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14509 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1023541056 is about 31992.8281963318. The cubic root of 1023541056 is about 1007.7862358499.

Adding to 1023541056 its reverse (6501453201), we get a palindrome (7524994257).

The spelling of 1023541056 in words is "one billion, twenty-three million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 2214 2624 2952 3936 4428 5904 7872 8856 11808 14447 17712 23616 28894 35424 43341 57788 70848 86682 115576 130023 173364 231152 260046 346728 390069 462304 520092 592327 693456 780138 924608 1040184 1184654 1386912 1560276 1776981 2080368 2369308 2773824 3120552 3553962 4160736 4738616 5330943 6241104 7107924 8321472 9477232 10661886 12482208 14215848 15992829 18954464 21323772 24964416 28431696 31985658 37908928 42647544 56863392 63971316 85295088 113726784 127942632 170590176 255885264 341180352 511770528 1023541056