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132566250 = 2354232953
BaseRepresentation
bin1111110011011…
…00110011101010
3100020110001201010
413321230303222
5232414110000
621053204350
73166536345
oct771546352
9306401633
10132566250
1168914a93
12384906b6
132160688b
141386b45c
15b988d50
hex7e6ccea

132566250 has 160 divisors (see below), whose sum is σ = 364383360. Its totient is φ = 32032000.

The previous prime is 132566209. The next prime is 132566263. The reversal of 132566250 is 52665231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 79 ways as a sum of consecutive naturals, for example, 2501224 + ... + 2501276.

It is an arithmetic number, because the mean of its divisors is an integer number (2277396).

Almost surely, 2132566250 is an apocalyptic number.

132566250 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 132566250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182191680).

132566250 is an abundant number, since it is smaller than the sum of its proper divisors (231817110).

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

132566250 is a wasteful number, since it uses less digits than its factorization.

132566250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 132566250 is about 11513.7417897050. The cubic root of 132566250 is about 509.8913647890.

The spelling of 132566250 in words is "one hundred thirty-two million, five hundred sixty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 29 30 46 50 53 58 69 75 87 106 115 125 138 145 150 159 174 230 250 265 290 318 345 375 435 530 575 625 667 690 725 750 795 870 1150 1219 1250 1325 1334 1450 1537 1590 1725 1875 2001 2175 2438 2650 2875 3074 3335 3450 3625 3657 3750 3975 4002 4350 4611 5750 6095 6625 6670 7250 7314 7685 7950 8625 9222 10005 10875 12190 13250 14375 15370 16675 17250 18125 18285 19875 20010 21750 23055 28750 30475 33125 33350 35351 36250 36570 38425 39750 43125 46110 50025 54375 60950 66250 70702 76850 83375 86250 91425 99375 100050 106053 108750 115275 152375 166750 176755 182850 192125 198750 212106 230550 250125 304750 353510 384250 416875 457125 500250 530265 576375 761875 833750 883775 914250 960625 1060530 1152750 1250625 1523750 1767550 1921250 2285625 2501250 2651325 2881875 4418875 4571250 5302650 5763750 8837750 13256625 22094375 26513250 44188750 66283125 132566250