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132000030 = 236519953
BaseRepresentation
bin1111101111000…
…10100100011110
3100012101022000000
413313202210132
5232243000110
621033115130
73161660511
oct767424436
9305338000
10132000030
1168568638
1238258aa6
1321468c36
1413760d78
15b8c61c0
hex7de291e

132000030 has 112 divisors (see below), whose sum is σ = 375379920. Its totient is φ = 33312384.

The previous prime is 132000023. The next prime is 132000079. The reversal of 132000030 is 30000231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131999976 and 132000021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 138034 + ... + 138986.

Almost surely, 2132000030 is an apocalyptic number.

132000030 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 132000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187689960).

132000030 is an abundant number, since it is smaller than the sum of its proper divisors (243379890).

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

132000030 is an equidigital number, since it uses as much as digits as its factorization.

132000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 132000030 is about 11489.1265986584. The cubic root of 132000030 is about 509.1643755390.

Adding to 132000030 its reverse (30000231), we get a palindrome (162000261).

The spelling of 132000030 in words is "one hundred thirty-two million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 729 810 855 953 1026 1215 1458 1539 1710 1906 2430 2565 2859 3078 3645 4617 4765 5130 5718 7290 7695 8577 9234 9530 13851 14295 15390 17154 18107 23085 25731 27702 28590 36214 42885 46170 51462 54321 69255 77193 85770 90535 108642 128655 138510 154386 162963 181070 231579 257310 271605 325926 385965 463158 488889 543210 694737 771930 814815 977778 1157895 1389474 1466667 1629630 2315790 2444445 2933334 3473685 4400001 4888890 6947370 7333335 8800002 13200003 14666670 22000005 26400006 44000010 66000015 132000030