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132254540 = 22511718467
BaseRepresentation
bin1111110001000…
…00101101001100
3100012212020010022
413320200231030
5232324121130
621042401312
73164100515
oct770405514
9305766108
10132254540
1168721880
1238360238
1321527a32
14137c9a0c
15b9267e5
hex7e20b4c

132254540 has 48 divisors (see below), whose sum is σ = 307286784. Its totient is φ = 47409600.

The previous prime is 132254537. The next prime is 132254579. The reversal of 132254540 is 45452231.

It is a happy number.

It is a super-2 number, since 2×1322545402 = 34982526701223200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11387 + ... + 19853.

It is an arithmetic number, because the mean of its divisors is an integer number (6401808).

Almost surely, 2132254540 is an apocalyptic number.

132254540 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 132254540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153643392).

132254540 is an abundant number, since it is smaller than the sum of its proper divisors (175032244).

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

132254540 is a wasteful number, since it uses less digits than its factorization.

132254540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 132254540 is about 11500.1973896103. The cubic root of 132254540 is about 509.4914063441.

The spelling of 132254540 in words is "one hundred thirty-two million, two hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 8467 15620 16934 33868 42335 84670 93137 169340 186274 372548 465685 601157 931370 1202314 1862740 2404628 3005785 6011570 6612727 12023140 13225454 26450908 33063635 66127270 132254540