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132446940 = 22354767701
BaseRepresentation
bin1111110010011…
…11101011011100
3100020020000001020
413321033223130
5232401300230
621050444140
73165531453
oct771175334
9306200036
10132446940
116884338a
1238433650
1321594492
1413839b9a
15b963810
hex7e4fadc

132446940 has 96 divisors (see below), whose sum is σ = 384943104. Its totient is φ = 34003200.

The previous prime is 132446819. The next prime is 132446957. The reversal of 132446940 is 49644231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188590 + ... + 189290.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 2132446940 is an apocalyptic number.

132446940 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 132446940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192471552).

132446940 is an abundant number, since it is smaller than the sum of its proper divisors (252496164).

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

132446940 is a wasteful number, since it uses less digits than its factorization.

132446940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 132446940 is about 11508.5594233162. The cubic root of 132446940 is about 509.7383509853.

It can be divided in two parts, 132446 and 940, that added together give a triangular number (133386 = T516).

The spelling of 132446940 in words is "one hundred thirty-two million, four hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 67 94 134 141 188 201 235 268 282 335 402 470 564 670 701 705 804 940 1005 1340 1402 1410 2010 2103 2804 2820 3149 3505 4020 4206 6298 7010 8412 9447 10515 12596 14020 15745 18894 21030 31490 32947 37788 42060 46967 47235 62980 65894 93934 94470 98841 131788 140901 164735 187868 188940 197682 234835 281802 329470 395364 469670 494205 563604 658940 704505 939340 988410 1409010 1976820 2207449 2818020 4414898 6622347 8829796 11037245 13244694 22074490 26489388 33111735 44148980 66223470 132446940