Search a number
-
+
1690700928 = 27372322941
BaseRepresentation
bin110010011000110…
…0000110010000000
311100211100111122220
41210301200302000
511430304412203
6435433331040
756616502140
oct14461406200
94324314586
101690700928
117983a16a4
123b2266a80
1320c371a67
14120784920
159d668653
hex64c60c80

1690700928 has 384 divisors, whose sum is σ = 5685724800. Its totient is φ = 435240960.

The previous prime is 1690700927. The next prime is 1690700941. The reversal of 1690700928 is 8290070961.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16907009282 = 5716939255880122368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1690700928.

It is not an unprimeable number, because it can be changed into a prime (1690700923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41236588 + ... + 41236628.

It is an arithmetic number, because the mean of its divisors is an integer number (14806575).

Almost surely, 21690700928 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 1690700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842862400).

1690700928 is an abundant number, since it is smaller than the sum of its proper divisors (3995023872).

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

1690700928 is a wasteful number, since it uses less digits than its factorization.

1690700928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1690700928 is about 41118.1338097925. The cubic root of 1690700928 is about 1191.3030774401.

The spelling of 1690700928 in words is "one billion, six hundred ninety million, seven hundred thousand, nine hundred twenty-eight".