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132015000 = 2335413677
BaseRepresentation
bin1111101111001…
…10001110011000
3100012102001112110
413313212032120
5232243440000
621033312320
73162052245
oct767461630
9305361473
10132015000
1168578907
12382656a0
13214729b0
14137665cc
15b8ca850
hex7de6398

132015000 has 160 divisors (see below), whose sum is σ = 444795120. Its totient is φ = 32448000.

The previous prime is 132014969. The next prime is 132015011. The reversal of 132015000 is 510231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194662 + ... + 195338.

Almost surely, 2132015000 is an apocalyptic number.

132015000 is a gapful number since it is divisible by the number (10) 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 132015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222397560).

132015000 is an abundant number, since it is smaller than the sum of its proper divisors (312780120).

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

132015000 is a wasteful number, since it uses less digits than its factorization.

132015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 132015000 is about 11489.7780657417. The cubic root of 132015000 is about 509.1836227634.

Adding to 132015000 its reverse (510231), we get a palindrome (132525231).

The spelling of 132015000 in words is "one hundred thirty-two million, fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 625 650 677 750 780 975 1000 1250 1300 1354 1500 1560 1625 1875 1950 2031 2500 2600 2708 3000 3250 3385 3750 3900 4062 4875 5000 5416 6500 6770 7500 7800 8124 8125 8801 9750 10155 13000 13540 15000 16248 16250 16925 17602 19500 20310 24375 26403 27080 32500 33850 35204 39000 40620 44005 48750 50775 52806 65000 67700 70408 81240 84625 88010 97500 101550 105612 132015 135400 169250 176020 195000 203100 211224 220025 253875 264030 338500 352040 406200 423125 440050 507750 528060 660075 677000 846250 880100 1015500 1056120 1100125 1269375 1320150 1692500 1760200 2031000 2200250 2538750 2640300 3300375 3385000 4400500 5077500 5280600 5500625 6600750 8801000 10155000 11001250 13201500 16501875 22002500 26403000 33003750 44005000 66007500 132015000