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29133240 = 23351714281
BaseRepresentation
bin110111100100…
…0100110111000
32000211010021220
41233020212320
524424230430
62520232040
7502425363
oct157104670
960733256
1029133240
1115499264
12990b620
136060606
143c250da
152857110
hex1bc89b8

29133240 has 64 divisors (see below), whose sum is σ = 92547360. Its totient is φ = 7311360.

The previous prime is 29133229. The next prime is 29133277. The reversal of 29133240 is 4233192.

29133240 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24).

29133240 is an undulating number in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 29133240.

It is a congruent number.

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, 5101 + ... + 9180.

Almost surely, 229133240 is an apocalyptic number.

29133240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29133240 is an abundant number, since it is smaller than the sum of its proper divisors (63414120).

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

29133240 is a wasteful number, since it uses less digits than its factorization.

29133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14312 (or 14308 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 29133240 is about 5397.5216534999. The cubic root of 29133240 is about 307.7014873543.

The spelling of 29133240 in words is "twenty-nine million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 14281 28562 42843 57124 71405 85686 114248 142810 171372 214215 242777 285620 342744 428430 485554 571240 728331 856860 971108 1213885 1456662 1713720 1942216 2427770 2913324 3641655 4855540 5826648 7283310 9711080 14566620 29133240