Search a number
-
+
1410186990 = 235733791699
BaseRepresentation
bin101010000001101…
…1011111011101110
310122021111220212210
41110003123323232
510342001440430
6351533111250
746642251222
oct12403337356
93567456783
101410186990
116640173a3
12334328526
13196207494
14d5404782
1583c082b0
hex540dbeee

1410186990 has 64 divisors (see below), whose sum is σ = 3441888000. Its totient is φ = 369702144.

The previous prime is 1410186961. The next prime is 1410186997. The reversal of 1410186990 is 996810141.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410186997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829161 + ... + 830859.

It is an arithmetic number, because the mean of its divisors is an integer number (53779500).

Almost surely, 21410186990 is an apocalyptic number.

1410186990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410186990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720944000).

1410186990 is an abundant number, since it is smaller than the sum of its proper divisors (2031701010).

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

1410186990 is a wasteful number, since it uses less digits than its factorization.

1410186990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161.

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 1410186990 is about 37552.4565108596. The cubic root of 1410186990 is about 1121.3957381260.

The spelling of 1410186990 in words is "one billion, four hundred ten million, one hundred eighty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 379 438 730 758 1095 1137 1699 1895 2190 2274 3398 3790 5097 5685 8495 10194 11370 16990 25485 27667 50970 55334 83001 124027 138335 166002 248054 276670 372081 415005 620135 643921 744162 830010 1240270 1287842 1860405 1931763 3219605 3720810 3863526 6439210 9658815 19317630 47006233 94012466 141018699 235031165 282037398 470062330 705093495 1410186990