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537051720 = 2335191092161
BaseRepresentation
bin100000000000101…
…100001001001000
31101102120001110110
4200000230021020
52044441123340
6125142514320
716210602312
oct4000541110
91342501413
10537051720
112561739a7
1212ba359a0
13873589aa
145147c7b2
1532236680
hex2002c248

537051720 has 128 divisors (see below), whose sum is σ = 1712304000. Its totient is φ = 134369280.

The previous prime is 537051677. The next prime is 537051727. The reversal of 537051720 is 27150735.

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 (537051727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247440 + ... + 249600.

It is an arithmetic number, because the mean of its divisors is an integer number (13377375).

Almost surely, 2537051720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537051720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856152000).

537051720 is an abundant number, since it is smaller than the sum of its proper divisors (1175252280).

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

537051720 is a wasteful number, since it uses less digits than its factorization.

537051720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 537051720 is about 23174.3763670136. The cubic root of 537051720 is about 812.8405679178.

The spelling of 537051720 in words is "five hundred thirty-seven million, fifty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 109 114 120 152 190 218 228 285 327 380 436 456 545 570 654 760 872 1090 1140 1308 1635 2071 2161 2180 2280 2616 3270 4142 4322 4360 6213 6483 6540 8284 8644 10355 10805 12426 12966 13080 16568 17288 20710 21610 24852 25932 31065 32415 41059 41420 43220 49704 51864 62130 64830 82118 82840 86440 123177 124260 129660 164236 205295 235549 246354 248520 259320 328472 410590 471098 492708 615885 706647 821180 942196 985416 1177745 1231770 1413294 1642360 1884392 2355490 2463540 2826588 3533235 4475431 4710980 4927080 5653176 7066470 8950862 9421960 13426293 14132940 17901724 22377155 26852586 28265880 35803448 44754310 53705172 67131465 89508620 107410344 134262930 179017240 268525860 537051720