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15030132 = 22313235971
BaseRepresentation
bin111001010101…
…011101110100
31001021121110120
4321111131310
512321431012
61254051540
7241516425
oct71253564
931247416
1015030132
1185363a7
125049bb0
133163290
141dd364c
1514bd58c
hexe55774

15030132 has 96 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 4287360.

The previous prime is 15030107. The next prime is 15030137. The reversal of 15030132 is 23103051.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15030137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211657 + ... + 211727.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 215030132 is an apocalyptic number.

15030132 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 15030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

15030132 is an abundant number, since it is smaller than the sum of its proper divisors (25612428).

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

15030132 is a wasteful number, since it uses less digits than its factorization.

15030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 15030132 is about 3876.8714190698. The cubic root of 15030132 is about 246.7862345407.

Adding to 15030132 its reverse (23103051), we get a palindrome (38133183).

The spelling of 15030132 in words is "fifteen million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 59 69 71 78 92 118 138 142 156 177 213 236 276 284 299 354 426 598 708 767 852 897 923 1196 1357 1534 1633 1794 1846 2301 2714 2769 3068 3266 3588 3692 4071 4189 4602 4899 5428 5538 6532 8142 8378 9204 9798 11076 12567 16284 16756 17641 19596 21229 25134 35282 42458 50268 52923 54457 63687 70564 84916 96347 105846 108914 127374 163371 192694 211692 217828 254748 289041 326742 385388 578082 653484 1156164 1252511 2505022 3757533 5010044 7515066 15030132