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29240080 = 2453171153
BaseRepresentation
bin110111110001…
…0101100010000
32001000112211221
41233202230100
524441140310
62522414424
7503352022
oct157425420
961015757
1029240080
1115561561
129961414
13609a12c
143c52012
152878ada
hex1be2b10

29240080 has 40 divisors (see below), whose sum is σ = 68256792. Its totient is φ = 11649024.

The previous prime is 29240059. The next prime is 29240089. The reversal of 29240080 is 8004292.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 28047616 = 1092^2 + 5296^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29240089) 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, 24784 + ... + 25936.

Almost surely, 229240080 is an apocalyptic number.

29240080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29240080 is an abundant number, since it is smaller than the sum of its proper divisors (39016712).

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

29240080 is a wasteful number, since it uses less digits than its factorization.

29240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 29240080 is about 5407.4097311005. The cubic root of 29240080 is about 308.0771718694.

It can be divided in two parts, 2 and 9240080, that multiplied together give a triangular number (18480160 = T6079).

The spelling of 29240080 in words is "twenty-nine million, two hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 317 634 1153 1268 1585 2306 2536 3170 4612 5072 5765 6340 9224 11530 12680 18448 23060 25360 46120 92240 365501 731002 1462004 1827505 2924008 3655010 5848016 7310020 14620040 29240080