Search a number
-
+
29675280 = 2435612027
BaseRepresentation
bin111000100110…
…0111100010000
32001211122211110
41301030330100
530044102110
62540013320
7510143565
oct161147420
961748743
1029675280
1115829528
129b31240
1361c024b
143d2686c
152912a20
hex1c4cf10

29675280 has 80 divisors (see below), whose sum is σ = 93547584. Its totient is φ = 7779840.

The previous prime is 29675263. The next prime is 29675281. The reversal of 29675280 is 8257692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (29675281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13627 + ... + 15653.

Almost surely, 229675280 is an apocalyptic number.

29675280 is a gapful number since it is divisible by the number (20) 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 29675280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46773792).

29675280 is an abundant number, since it is smaller than the sum of its proper divisors (63872304).

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

29675280 is a wasteful number, since it uses less digits than its factorization.

29675280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 29675280 is about 5447.5021798986. The cubic root of 29675280 is about 309.5980917162.

The spelling of 29675280 in words is "twenty-nine million, six hundred seventy-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2027 2440 2928 3660 4054 4880 6081 7320 8108 10135 12162 14640 16216 20270 24324 30405 32432 40540 48648 60810 81080 97296 121620 123647 162160 243240 247294 370941 486480 494588 618235 741882 989176 1236470 1483764 1854705 1978352 2472940 2967528 3709410 4945880 5935056 7418820 9891760 14837640 29675280