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1074948840 = 233357142189
BaseRepresentation
bin100000000010010…
…0110101011101000
32202220201001121000
41000010212223220
54200141330330
6254355515000
735431625430
oct10004465350
92686631530
101074948840
11501864a79
1225bbb8a60
1314191c404
14a2a9b2c0
1564588560
hex40126ae8

1074948840 has 128 divisors (see below), whose sum is σ = 4095072000. Its totient is φ = 245700864.

The previous prime is 1074948779. The next prime is 1074948841. The reversal of 1074948840 is 488494701.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1074948841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63535 + ... + 78654.

It is an arithmetic number, because the mean of its divisors is an integer number (31992750).

Almost surely, 21074948840 is an apocalyptic number.

1074948840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074948840 is an abundant number, since it is smaller than the sum of its proper divisors (3020123160).

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

1074948840 is a wasteful number, since it uses less digits than its factorization.

1074948840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142216 (or 142206 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1074948840 is about 32786.4124295416. The cubic root of 1074948840 is about 1024.3835563675.

The spelling of 1074948840 in words is "one billion, seventy-four million, nine hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 142189 284378 426567 568756 710945 853134 995323 1137512 1279701 1421890 1706268 1990646 2132835 2559402 2843780 2985969 3412536 3839103 3981292 4265670 4976615 5118804 5687560 5971938 6398505 7678206 7962584 8531340 8957907 9953230 10237608 11943876 12797010 14929845 15356412 17062680 17915814 19195515 19906460 23887752 25594020 26873721 29859690 30712824 35831628 38391030 39812920 44789535 51188040 53747442 59719380 71663256 76782060 89579070 107494884 119438760 134368605 153564120 179158140 214989768 268737210 358316280 537474420 1074948840