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1531060020 = 2232572235449
BaseRepresentation
bin101101101000010…
…0001111100110100
310221200221220111200
41123100201330310
511113422410040
6411531532500
752640536560
oct13320417464
93850856450
101531060020
11716275066
123688ba130
131b5278899
141074aa6a0
158e632630
hex5b421f34

1531060020 has 144 divisors (see below), whose sum is σ = 5332454400. Its totient is φ = 348323328.

The previous prime is 1531059997. The next prime is 1531060039. The reversal of 1531060020 is 200601351.

1531060020 is a `hidden beast` number, since 1 + 53 + 10 + 600 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1531059975 and 1531060002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278256 + ... + 283704.

Almost surely, 21531060020 is an apocalyptic number.

1531060020 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 1531060020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666227200).

1531060020 is an abundant number, since it is smaller than the sum of its proper divisors (3801394380).

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

1531060020 is a wasteful number, since it uses less digits than its factorization.

1531060020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1531060020 is about 39128.7620555519. The cubic root of 1531060020 is about 1152.5614035228.

Adding to 1531060020 its reverse (200601351), we get a palindrome (1731661371).

The spelling of 1531060020 in words is "one billion, five hundred thirty-one million, sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 223 252 315 420 446 630 669 892 1115 1260 1338 1561 2007 2230 2676 3122 3345 4014 4460 4683 5449 6244 6690 7805 8028 9366 10035 10898 13380 14049 15610 16347 18732 20070 21796 23415 27245 28098 31220 32694 38143 40140 46830 49041 54490 56196 65388 70245 76286 81735 93660 98082 108980 114429 140490 152572 163470 190715 196164 228858 245205 280980 326940 343287 381430 457716 490410 572145 686574 762860 980820 1144290 1215127 1373148 1716435 2288580 2430254 3432870 3645381 4860508 6075635 6865740 7290762 8505889 10936143 12151270 14581524 17011778 18226905 21872286 24302540 25517667 34023556 36453810 42529445 43744572 51035334 54680715 72907620 76553001 85058890 102070668 109361430 127588335 153106002 170117780 218722860 255176670 306212004 382765005 510353340 765530010 1531060020