Search a number
-
+
1490927688 = 233321132713
BaseRepresentation
bin101100011011101…
…1100000001001000
310211220102222022000
41120313130001020
511023134141223
6403535431000
751642450645
oct13067340110
93756388260
101490927688
116a5654048
12357385460
131a9b66a43
14102020dcc
158ad56543
hex58ddc048

1490927688 has 64 divisors (see below), whose sum is σ = 4161220800. Its totient is φ = 494605440.

The previous prime is 1490927687. The next prime is 1490927707. The reversal of 1490927688 is 8867290941.

1490927688 is a `hidden beast` number, since 1 + 490 + 9 + 2 + 76 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1490927681) 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 15 ways as a sum of consecutive naturals, for example, 29220 + ... + 61932.

It is an arithmetic number, because the mean of its divisors is an integer number (65019075).

Almost surely, 21490927688 is an apocalyptic number.

1490927688 is a gapful number since it is divisible by the number (18) 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 1490927688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080610400).

1490927688 is an abundant number, since it is smaller than the sum of its proper divisors (2670293112).

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

1490927688 is a wasteful number, since it uses less digits than its factorization.

1490927688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32939 (or 32929 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1490927688 is about 38612.5327840586. The cubic root of 1490927688 is about 1142.4017508447.

The spelling of 1490927688 in words is "one billion, four hundred ninety million, nine hundred twenty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 211 216 422 633 844 1266 1688 1899 2532 3798 5064 5697 7596 11394 15192 22788 32713 45576 65426 98139 130852 196278 261704 294417 392556 588834 785112 883251 1177668 1766502 2355336 3533004 6902443 7066008 13804886 20707329 27609772 41414658 55219544 62121987 82829316 124243974 165658632 186365961 248487948 372731922 496975896 745463844 1490927688