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1530137232 = 2432137311197
BaseRepresentation
bin101101100110100…
…0000101010010000
310221122020000200100
41123031000222100
511113203342412
6411500052400
752626644331
oct13315005220
93848200610
101530137232
117157a4828
12368534100
131b5014860
1410730a288
158e4ededc
hex5b340a90

1530137232 has 120 divisors (see below), whose sum is σ = 4675254584. Its totient is φ = 464320512.

The previous prime is 1530137227. The next prime is 1530137233. The reversal of 1530137232 is 2327310351.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 1518193296 = 3456^2 + 38964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1530137196 and 1530137205.

It is not an unprimeable number, because it can be changed into a prime (1530137233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131058 + ... + 142254.

Almost surely, 21530137232 is an apocalyptic number.

1530137232 is a gapful number since it is divisible by the number (12) 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 1530137232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337627292).

1530137232 is an abundant number, since it is smaller than the sum of its proper divisors (3145117352).

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

1530137232 is a wasteful number, since it uses less digits than its factorization.

1530137232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11297 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1530137232 is about 39116.9685942047. The cubic root of 1530137232 is about 1152.3298028527.

Adding to 1530137232 its reverse (2327310351), we get a palindrome (3857447583).

The spelling of 1530137232 in words is "one billion, five hundred thirty million, one hundred thirty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 208 219 234 292 312 438 468 584 624 657 876 936 949 1168 1314 1752 1872 1898 2628 2847 3504 3796 5256 5694 7592 8541 10512 11197 11388 15184 17082 22394 22776 33591 34164 44788 45552 67182 68328 89576 100773 134364 136656 145561 179152 201546 268728 291122 403092 436683 537456 582244 806184 817381 873366 1164488 1310049 1612368 1634762 1746732 2328976 2452143 2620098 3269524 3493464 4904286 5240196 6539048 6986928 7356429 9808572 10480392 10625953 13078096 14712858 19617144 20960784 21251906 29425716 31877859 39234288 42503812 58851432 63755718 85007624 95633577 117702864 127511436 170015248 191267154 255022872 382534308 510045744 765068616 1530137232