Search a number
-
+
29514700 = 2252714157
BaseRepresentation
bin111000010010…
…1101111001100
32001112111120001
41300211233030
530023432300
62532334044
7505604455
oct160455714
961474501
1029514700
1115729916
129a74324
136165127
143cc412c
1528d016a
hex1c25bcc

29514700 has 36 divisors (see below), whose sum is σ = 64964592. Its totient is φ = 11636800.

The previous prime is 29514689. The next prime is 29514701. The reversal of 29514700 is 741592.

It is a happy number.

It is a super-2 number, since 2×295147002 = 1742235032180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29514701) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5022 + ... + 9178.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 229514700 is an apocalyptic number.

29514700 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 29514700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32482296).

29514700 is an abundant number, since it is smaller than the sum of its proper divisors (35449892).

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

29514700 is a wasteful number, since it uses less digits than its factorization.

29514700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 29514700 is about 5432.7433217482. The cubic root of 29514700 is about 309.0386450900.

The spelling of 29514700 in words is "twenty-nine million, five hundred fourteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 4157 7100 8314 16628 20785 41570 83140 103925 207850 295147 415700 590294 1180588 1475735 2951470 5902940 7378675 14757350 29514700