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1053124000 = 25532311447
BaseRepresentation
bin111110110001010…
…110010110100000
32201101122020112121
4332301112112200
54124044432000
6252300034024
735045256235
oct7661262640
92641566477
101053124000
114a0508715
12254832914
1313a24a4c6
149dc1978c
15626c6b1a
hex3ec565a0

1053124000 has 96 divisors (see below), whose sum is σ = 2700262656. Its totient is φ = 402899200.

The previous prime is 1053123959. The next prime is 1053124019. The reversal of 1053124000 is 4213501.

1053124000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10531240002 = 2218140318752000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 86277 + ... + 97723.

It is an arithmetic number, because the mean of its divisors is an integer number (28127736).

Almost surely, 21053124000 is an apocalyptic number.

1053124000 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 1053124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350131328).

1053124000 is an abundant number, since it is smaller than the sum of its proper divisors (1647138656).

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

1053124000 is a wasteful number, since it uses less digits than its factorization.

1053124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11495 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1053124000 is about 32451.8720569400. The cubic root of 1053124000 is about 1017.4033658305.

Adding to 1053124000 its reverse (4213501), we get a palindrome (1057337501).

The spelling of 1053124000 in words is "one billion, fifty-three million, one hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11447 11500 18400 22894 23000 45788 46000 57235 91576 92000 114470 183152 228940 263281 286175 366304 457880 526562 572350 915760 1053124 1144700 1316405 1430875 1831520 2106248 2289400 2632810 2861750 4212496 4578800 5265620 5723500 6582025 8424992 9157600 10531240 11447000 13164050 21062480 22894000 26328100 32910125 42124960 45788000 52656200 65820250 105312400 131640500 210624800 263281000 526562000 1053124000