Search a number
-
+
132501750 = 23533141139
BaseRepresentation
bin1111110010111…
…01000011110110
3100020022210020020
413321131003312
5232410024000
621051550010
73166150323
oct771350366
9306283206
10132501750
1168880587
123845b306
13215b3404
1413851b4a
15b974ba0
hex7e5d0f6

132501750 has 128 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 33120000.

The previous prime is 132501739. The next prime is 132501779. The reversal of 132501750 is 57105231.

It is a self number, because there is not a number n which added to its sum of digits gives 132501750.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 953181 + ... + 953319.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2132501750 is an apocalyptic number.

132501750 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 132501750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

132501750 is an abundant number, since it is smaller than the sum of its proper divisors (219733770).

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

132501750 is a wasteful number, since it uses less digits than its factorization.

132501750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 132501750 is about 11510.9404481128. The cubic root of 132501750 is about 509.8086556320.

Adding to 132501750 its reverse (57105231), we get a palindrome (189606981).

The spelling of 132501750 in words is "one hundred thirty-two million, five hundred one thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 41 50 62 75 82 93 123 125 139 150 155 186 205 246 250 278 310 375 410 417 465 615 695 750 775 834 930 1025 1230 1271 1390 1550 2050 2085 2325 2542 3075 3475 3813 3875 4170 4309 4650 5125 5699 6150 6355 6950 7626 7750 8618 10250 10425 11398 11625 12710 12927 15375 17097 17375 19065 20850 21545 23250 25854 28495 30750 31775 34194 34750 38130 43090 52125 56990 63550 64635 85485 95325 104250 107725 129270 142475 158875 170970 176669 190650 215450 284950 317750 323175 353338 427425 476625 530007 538625 646350 712375 854850 883345 953250 1060014 1077250 1424750 1615875 1766690 2137125 2650035 3231750 4274250 4416725 5300070 8833450 13250175 22083625 26500350 44167250 66250875 132501750