Search a number
-
+
29798640 = 2432541387
BaseRepresentation
bin111000110101…
…1000011110000
32002001221001100
41301223003300
530112024030
62542404400
7511166334
oct161530360
962057040
1029798640
1115903183
129b90700
136234441
143d597c4
152939360
hex1c6b0f0

29798640 has 60 divisors (see below), whose sum is σ = 100076184. Its totient is φ = 7946112.

The previous prime is 29798633. The next prime is 29798641. The reversal of 29798640 is 4689792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29798641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19974 + ... + 21413.

Almost surely, 229798640 is an apocalyptic number.

29798640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29798640 is an abundant number, since it is smaller than the sum of its proper divisors (70277544).

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

29798640 is a wasteful number, since it uses less digits than its factorization.

29798640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41406 (or 41397 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 29798640 is about 5458.8130577993. The cubic root of 29798640 is about 310.0264979084.

The spelling of 29798640 in words is "twenty-nine million, seven hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 41387 82774 124161 165548 206935 248322 331096 372483 413870 496644 620805 662192 744966 827740 993288 1241610 1489932 1655480 1862415 1986576 2483220 2979864 3310960 3724830 4966440 5959728 7449660 9932880 14899320 29798640