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2021130240 = 21935257
BaseRepresentation
bin111100001111000…
…0000000000000000
312012212010001110120
41320132000000000
513114402131430
6532315500240
7101041215663
oct17036000000
95185101416
102021130240
1194796a078
12484a57680
1326296506c
141525d96da
15bc688610
hex78780000

2021130240 has 160 divisors (see below), whose sum is σ = 6492776400. Its totient is φ = 536870912.

The previous prime is 2021130227. The next prime is 2021130257. The reversal of 2021130240 is 420311202.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 2021130240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7864192 + ... + 7864448.

Almost surely, 22021130240 is an apocalyptic number.

2021130240 is a gapful number since it is divisible by the number (20) 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 2021130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246388200).

2021130240 is an abundant number, since it is smaller than the sum of its proper divisors (4471646160).

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

2021130240 is an frugal number, since it uses more digits than its factorization.

2021130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2021130240 is about 44956.9821051191. The cubic root of 2021130240 is about 1264.3425872648.

Adding to 2021130240 its reverse (420311202), we get a palindrome (2441441442).

The spelling of 2021130240 in words is "two billion, twenty-one million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 257 320 384 480 512 514 640 768 771 960 1024 1028 1280 1285 1536 1542 1920 2048 2056 2560 2570 3072 3084 3840 3855 4096 4112 5120 5140 6144 6168 7680 7710 8192 8224 10240 10280 12288 12336 15360 15420 16384 16448 20480 20560 24576 24672 30720 30840 32768 32896 40960 41120 49152 49344 61440 61680 65536 65792 81920 82240 98304 98688 122880 123360 131072 131584 163840 164480 196608 197376 245760 246720 262144 263168 327680 328960 393216 394752 491520 493440 524288 526336 655360 657920 786432 789504 983040 986880 1052672 1310720 1315840 1572864 1579008 1966080 1973760 2105344 2621440 2631680 3158016 3932160 3947520 4210688 5263360 6316032 7864320 7895040 8421376 10526720 12632064 15790080 16842752 21053440 25264128 31580160 33685504 42106880 50528256 63160320 67371008 84213760 101056512 126320640 134742016 168427520 202113024 252641280 336855040 404226048 505282560 673710080 1010565120 2021130240