Search a number
-
+
29937420 = 22325166319
BaseRepresentation
bin111001000110…
…0111100001100
32002022222102100
41302030330030
530130444140
62545355100
7512315052
oct162147414
962288370
1029937420
1115998477
12a038a90
136282666
143d941d2
152965530
hex1c8cf0c

29937420 has 36 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 7983264.

The previous prime is 29937419. The next prime is 29937431. The reversal of 29937420 is 2473992.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82980 + ... + 83339.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 229937420 is an apocalyptic number.

29937420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29937420 is an abundant number, since it is smaller than the sum of its proper divisors (60873300).

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

29937420 is a wasteful number, since it uses less digits than its factorization.

29937420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166334 (or 166329 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 29937420 is about 5471.5098464683. The cubic root of 29937420 is about 310.5070439564.

The spelling of 29937420 in words is "twenty-nine million, nine hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 166319 332638 498957 665276 831595 997914 1496871 1663190 1995828 2494785 2993742 3326380 4989570 5987484 7484355 9979140 14968710 29937420