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1530037152 = 253272108421
BaseRepresentation
bin101101100110010…
…1000001110100000
310221122000221101200
41123030220032200
511113142142102
6411454001200
752626046500
oct13314501640
93848027350
101530037152
11715736616
123684a6200
131b4cab137
141072c1a00
158e4ce51c
hex5b3283a0

1530037152 has 108 divisors (see below), whose sum is σ = 5061464226. Its totient is φ = 437149440.

The previous prime is 1530037141. The next prime is 1530037169. The reversal of 1530037152 is 2517300351.

It can be written as a sum of positive squares in only one way, i.e., 1250612496 + 279424656 = 35364^2 + 16716^2 .

It is a super-2 number, since 2×15300371522 = 4682027373000542208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40099 + ... + 68322.

Almost surely, 21530037152 is an apocalyptic number.

1530037152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1530037152 is an abundant number, since it is smaller than the sum of its proper divisors (3531427074).

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

1530037152 is a wasteful number, since it uses less digits than its factorization.

1530037152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108451 (or 108433 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1530037152 is about 39115.6893330541. The cubic root of 1530037152 is about 1152.3046792497.

The spelling of 1530037152 in words is "one billion, five hundred thirty million, thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 108421 216842 325263 433684 650526 758947 867368 975789 1301052 1517894 1734736 1951578 2276841 2602104 3035788 3469472 3903156 4553682 5204208 5312629 6071576 6830523 7806312 9107364 10408416 10625258 12143152 13661046 15612624 15937887 18214728 21250516 24286304 27322092 31225248 31875774 36429456 42501032 47813661 54644184 63751548 72858912 85002064 95627322 109288368 127503096 170004128 191254644 218576736 255006192 382509288 510012384 765018576 1530037152