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1041124920 = 2335113472273
BaseRepresentation
bin111110000011100…
…100111000111000
32200120001121220020
4332003210320320
54113011444140
6251150530440
734541262423
oct7603447070
92616047806
101041124920
11494762620
12250806a20
13137908a64
149c3b49ba
15616066d0
hex3e0e4e38

1041124920 has 128 divisors (see below), whose sum is σ = 3418640640. Its totient is φ = 251555840.

The previous prime is 1041124891. The next prime is 1041124979. The reversal of 1041124920 is 294211401.

1041124920 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 (24).

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, 456904 + ... + 459176.

It is an arithmetic number, because the mean of its divisors is an integer number (26708130).

Almost surely, 21041124920 is an apocalyptic number.

1041124920 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 1041124920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709320320).

1041124920 is an abundant number, since it is smaller than the sum of its proper divisors (2377515720).

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

1041124920 is a wasteful number, since it uses less digits than its factorization.

1041124920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1041124920 is about 32266.4674236273. The cubic root of 1041124920 is about 1013.5245681133.

The spelling of 1041124920 in words is "one billion, forty-one million, one hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 347 440 660 694 1041 1320 1388 1735 2082 2273 2776 3470 3817 4164 4546 5205 6819 6940 7634 8328 9092 10410 11365 11451 13638 13880 15268 18184 19085 20820 22730 22902 25003 27276 30536 34095 38170 41640 45460 45804 50006 54552 57255 68190 75009 76340 90920 91608 100012 114510 125015 136380 150018 152680 200024 229020 250030 272760 300036 375045 458040 500060 600072 750090 788731 1000120 1500180 1577462 2366193 3000360 3154924 3943655 4732386 6309848 7887310 8676041 9464772 11830965 15774620 17352082 18929544 23661930 26028123 31549240 34704164 43380205 47323860 52056246 69408328 86760410 94647720 104112492 130140615 173520820 208224984 260281230 347041640 520562460 1041124920