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29319680 = 29513881
BaseRepresentation
bin110111111011…
…0001000000000
32001011121001002
41233312020000
530001212210
62524231132
7504133055
oct157661000
961147032
1029319680
1115606345
12999b4a8
1360c7430
143c7302c
1528924a5
hex1bf6200

29319680 has 80 divisors (see below), whose sum is σ = 75792024. Its totient is φ = 10813440.

The previous prime is 29319677. The next prime is 29319683. The reversal of 29319680 is 8691392.

It is an interprime number because it is at equal distance from previous prime (29319677) and next prime (29319683).

It can be written as a sum of positive squares in 4 ways, for example, as 13191424 + 16128256 = 3632^2 + 4016^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29319683) 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 7 ways as a sum of consecutive naturals, for example, 32840 + ... + 33720.

Almost surely, 229319680 is an apocalyptic number.

29319680 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 29319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37896012).

29319680 is an abundant number, since it is smaller than the sum of its proper divisors (46472344).

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

29319680 is an equidigital number, since it uses as much as digits as its factorization.

29319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 29319680 is about 5414.7649995175. The cubic root of 29319680 is about 308.3564771200.

The spelling of 29319680 in words is "twenty-nine million, three hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 881 1040 1280 1664 1762 2080 2560 3328 3524 4160 4405 6656 7048 8320 8810 11453 14096 16640 17620 22906 28192 33280 35240 45812 56384 57265 70480 91624 112768 114530 140960 183248 225536 229060 281920 366496 451072 458120 563840 732992 916240 1127680 1465984 1832480 2255360 2931968 3664960 5863936 7329920 14659840 29319680