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453135720 = 233543137641
BaseRepresentation
bin11011000000100…
…100110101101000
31011120122200100110
4123000210311220
51412000320340
6112544134320
714141406252
oct3300446550
91146580313
10453135720
11212868634
121079073a0
1372b5705b
1444276cd2
1529bac680
hex1b024d68

453135720 has 128 divisors (see below), whose sum is σ = 1403360640. Its totient is φ = 116981760.

The previous prime is 453135689. The next prime is 453135721. The reversal of 453135720 is 27531354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (453135721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706600 + ... + 707240.

It is an arithmetic number, because the mean of its divisors is an integer number (10963755).

Almost surely, 2453135720 is an apocalyptic number.

453135720 is a gapful number since it is divisible by the number (40) 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 453135720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701680320).

453135720 is an abundant number, since it is smaller than the sum of its proper divisors (950224920).

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

453135720 is a wasteful number, since it uses less digits than its factorization.

453135720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 453135720 is about 21286.9847559489. The cubic root of 453135720 is about 768.0852634287.

The spelling of 453135720 in words is "four hundred fifty-three million, one hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 137 172 215 258 274 344 411 430 516 548 641 645 685 822 860 1032 1096 1282 1290 1370 1644 1720 1923 2055 2564 2580 2740 3205 3288 3846 4110 5128 5160 5480 5891 6410 7692 8220 9615 11782 12820 15384 16440 17673 19230 23564 25640 27563 29455 35346 38460 47128 55126 58910 70692 76920 82689 87817 88365 110252 117820 137815 141384 165378 175634 176730 220504 235640 263451 275630 330756 351268 353460 413445 439085 526902 551260 661512 702536 706920 826890 878170 1053804 1102520 1317255 1653780 1756340 2107608 2634510 3307560 3512680 3776131 5269020 7552262 10538040 11328393 15104524 18880655 22656786 30209048 37761310 45313572 56641965 75522620 90627144 113283930 151045240 226567860 453135720