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1530120340 = 2257611391289
BaseRepresentation
bin101101100110011…
…1100100010010100
310221122012011111201
41123030330202110
511113202322330
6411455442244
752626544150
oct13314744224
93848164451
101530120340
11715793071
12368526384
131b5009c68
14107304060
158e4e8eca
hex5b33c894

1530120340 has 96 divisors (see below), whose sum is σ = 3762259200. Its totient is φ = 511902720.

The previous prime is 1530120271. The next prime is 1530120373. The reversal of 1530120340 is 430210351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186416 + ... + 1187704.

It is an arithmetic number, because the mean of its divisors is an integer number (39190200).

Almost surely, 21530120340 is an apocalyptic number.

1530120340 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 1530120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881129600).

1530120340 is an abundant number, since it is smaller than the sum of its proper divisors (2232138860).

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

1530120340 is a wasteful number, since it uses less digits than its factorization.

1530120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1530120340 is about 39116.7526770820. The cubic root of 1530120340 is about 1152.3255624430.

Adding to 1530120340 its reverse (430210351), we get a palindrome (1960330691).

The spelling of 1530120340 in words is "one billion, five hundred thirty million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 139 140 244 278 305 427 556 610 695 854 973 1220 1289 1390 1708 1946 2135 2578 2780 3892 4270 4865 5156 6445 8479 8540 9023 9730 12890 16958 18046 19460 25780 33916 36092 42395 45115 59353 78629 84790 90230 118706 157258 169580 179171 180460 237412 296765 314516 358342 393145 550403 593530 716684 786290 895855 1100806 1187060 1254197 1572580 1791710 2201612 2508394 2752015 3583420 5016788 5504030 6270985 10929431 11008060 12541970 21858862 25083940 43717724 54647155 76506017 109294310 153012034 218588620 306024068 382530085 765060170 1530120340