Search a number
-
+
9149000 = 235371307
BaseRepresentation
bin100010111001…
…101001001000
3122012211001212
4202321221020
54320232000
6524032252
7140523320
oct42715110
918184055
109149000
115189863
123092688
131b84413
141302280
15c0ac35
hex8b9a48

9149000 has 64 divisors (see below), whose sum is σ = 24485760. Its totient is φ = 3134400.

The previous prime is 9148991. The next prime is 9149011. The reversal of 9149000 is 9419.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6347 + ... + 7653.

It is an arithmetic number, because the mean of its divisors is an integer number (382590).

Almost surely, 29149000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12242880).

9149000 is an abundant number, since it is smaller than the sum of its proper divisors (15336760).

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

9149000 is a wasteful number, since it uses less digits than its factorization.

9149000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 9149000 is about 3024.7313930331. The cubic root of 9149000 is about 209.1500033462.

The spelling of 9149000 in words is "nine million, one hundred forty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1307 1400 1750 2614 3500 5228 6535 7000 9149 10456 13070 18298 26140 32675 36596 45745 52280 65350 73192 91490 130700 163375 182980 228725 261400 326750 365960 457450 653500 914900 1143625 1307000 1829800 2287250 4574500 9149000