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132054240 = 25351032671
BaseRepresentation
bin1111101111011…
…11110011100000
3100012111001100210
413313233303200
5232301213430
621034214120
73162304533
oct767576340
9305431323
10132054240
11685a533a
1238284340
1321487806
1413776a1a
15b8d72b0
hex7defce0

132054240 has 96 divisors (see below), whose sum is σ = 420166656. Its totient is φ = 34859520.

The previous prime is 132054233. The next prime is 132054257. The reversal of 132054240 is 42450231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48105 + ... + 50775.

It is an arithmetic number, because the mean of its divisors is an integer number (4376736).

Almost surely, 2132054240 is an apocalyptic number.

132054240 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 132054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210083328).

132054240 is an abundant number, since it is smaller than the sum of its proper divisors (288112416).

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

132054240 is a wasteful number, since it uses less digits than its factorization.

132054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 132054240 is about 11491.4855436536. The cubic root of 132054240 is about 509.2340675008.

The spelling of 132054240 in words is "one hundred thirty-two million, fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 2671 3090 3296 4120 4944 5342 6180 8013 8240 9888 10684 12360 13355 16026 16480 21368 24720 26710 32052 40065 42736 49440 53420 64104 80130 85472 106840 128208 160260 213680 256416 275113 320520 427360 550226 641040 825339 1100452 1282080 1375565 1650678 2200904 2751130 3301356 4126695 4401808 5502260 6602712 8253390 8803616 11004520 13205424 16506780 22009040 26410848 33013560 44018080 66027120 132054240