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1530695340 = 223355095569
BaseRepresentation
bin101101100111100…
…1000111010101100
310221200021101021000
41123033020322230
511113324222330
6411520040300
752634460426
oct13317107254
93850241230
101530695340
11716046079
12368763090
131b517b8b5
14107413816
158e5ae560
hex5b3c8eac

1530695340 has 96 divisors (see below), whose sum is σ = 4772376000. Its totient is φ = 407310336.

The previous prime is 1530695303. The next prime is 1530695357. The reversal of 1530695340 is 435960351.

1530695340 is a `hidden beast` number, since 1 + 5 + 306 + 9 + 5 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1530695295 and 1530695304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272076 + ... + 277644.

It is an arithmetic number, because the mean of its divisors is an integer number (49712250).

Almost surely, 21530695340 is an apocalyptic number.

1530695340 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 1530695340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386188000).

1530695340 is an abundant number, since it is smaller than the sum of its proper divisors (3241680660).

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

1530695340 is a wasteful number, since it uses less digits than its factorization.

1530695340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1530695340 is about 39124.1017788268. The cubic root of 1530695340 is about 1152.4698875223.

The spelling of 1530695340 in words is "one billion, five hundred thirty million, six hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 509 540 1018 1527 2036 2545 3054 4581 5090 5569 6108 7635 9162 10180 11138 13743 15270 16707 18324 22276 22905 27486 27845 30540 33414 45810 50121 54972 55690 66828 68715 83535 91620 100242 111380 137430 150363 167070 200484 250605 274860 300726 334140 501210 601452 751815 1002420 1503630 2834621 3007260 5669242 8503863 11338484 14173105 17007726 25511589 28346210 34015452 42519315 51023178 56692420 76534767 85038630 102046356 127557945 153069534 170077260 255115890 306139068 382673835 510231780 765347670 1530695340