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1520132130 = 2335114311903
BaseRepresentation
bin101101010011011…
…0110000000100010
310220221101201021000
41122212312000202
511103123212010
6410501412430
752445624046
oct13246660042
93827351230
101520132130
11710090850
1236510a116
131b2c2088a
14105c64026
158d6c47c0
hex5a9b6022

1520132130 has 128 divisors (see below), whose sum is σ = 4525424640. Its totient is φ = 359916480.

The previous prime is 1520132111. The next prime is 1520132147. The reversal of 1520132130 is 312310251.

1520132130 is a `hidden beast` number, since 1 + 520 + 13 + 2 + 130 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 121759 + ... + 133661.

It is an arithmetic number, because the mean of its divisors is an integer number (35354880).

Almost surely, 21520132130 is an apocalyptic number.

1520132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1520132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262712320).

1520132130 is an abundant number, since it is smaller than the sum of its proper divisors (3005292510).

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

1520132130 is a wasteful number, since it uses less digits than its factorization.

1520132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11967 counting only the distinct ones).

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

The square root of 1520132130 is about 38988.8718739078. The cubic root of 1520132130 is about 1149.8127306908.

Adding to 1520132130 its reverse (312310251), we get a palindrome (1832442381).

The spelling of 1520132130 in words is "one billion, five hundred twenty million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 43 45 54 55 66 86 90 99 110 129 135 165 198 215 258 270 297 330 387 430 473 495 594 645 774 946 990 1161 1290 1419 1485 1935 2322 2365 2838 2970 3870 4257 4730 5805 7095 8514 11610 11903 12771 14190 21285 23806 25542 35709 42570 59515 63855 71418 107127 119030 127710 130933 178545 214254 261866 321381 357090 392799 511829 535635 642762 654665 785598 1023658 1071270 1178397 1309330 1535487 1606905 1963995 2356794 2559145 3070974 3213810 3535191 3927990 4606461 5118290 5630119 5891985 7070382 7677435 9212922 11260238 11783970 13819383 15354870 16890357 17675955 23032305 27638766 28150595 33780714 35351910 46064610 50671071 56301190 69096915 84451785 101342142 138193830 152013213 168903570 253355355 304026426 506710710 760066065 1520132130