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1490976 = 253231167
BaseRepresentation
bin101101100000000100000
32210202020100
411230000200
5340202401
651542400
715446604
oct5540040
92722210
101490976
11929213
125baa00
13402846
142ab504
151e6b86
hex16c020

1490976 has 72 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 478080.

The previous prime is 1490969. The next prime is 1490999. The reversal of 1490976 is 6790941.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×14909763 = 9943361135233302528, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1490976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8845 + ... + 9011.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

21490976 is an apocalyptic number.

1490976 is a gapful number since it is divisible by the number (16) 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 1490976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472).

1490976 is an abundant number, since it is smaller than the sum of its proper divisors (2911968).

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

1490976 is a wasteful number, since it uses less digits than its factorization.

1490976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1490976 is about 1221.0552813038. The cubic root of 1490976 is about 114.2414090168.

The spelling of 1490976 in words is "one million, four hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 167 186 248 279 288 334 372 496 501 558 668 744 992 1002 1116 1336 1488 1503 2004 2232 2672 2976 3006 4008 4464 5177 5344 6012 8016 8928 10354 12024 15531 16032 20708 24048 31062 41416 46593 48096 62124 82832 93186 124248 165664 186372 248496 372744 496992 745488 1490976