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33138480 = 2435138077
BaseRepresentation
bin111111001101…
…0011100110000
32022100121110010
41332122130300
531440412410
63142134520
7551446434
oct176323460
968317403
1033138480
1117784481
12b121440
136b3368b
1445889c4
152d98c20
hex1f9a730

33138480 has 40 divisors (see below), whose sum is σ = 102730032. Its totient is φ = 8836864.

The previous prime is 33138467. The next prime is 33138481. The reversal of 33138480 is 8483133.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (33138481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68799 + ... + 69278.

Almost surely, 233138480 is an apocalyptic number.

33138480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33138480 is an abundant number, since it is smaller than the sum of its proper divisors (69591552).

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

33138480 is a wasteful number, since it uses less digits than its factorization.

33138480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138093 (or 138087 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 33138480 is about 5756.6031650618. The cubic root of 33138480 is about 321.2014728842.

The spelling of 33138480 in words is "thirty-three million, one hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 138077 276154 414231 552308 690385 828462 1104616 1380770 1656924 2071155 2209232 2761540 3313848 4142310 5523080 6627696 8284620 11046160 16569240 33138480