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1016004 = 2231143179
BaseRepresentation
bin11111000000011000100
31220121200210
43320003010
5230003004
633435420
711431053
oct3700304
91817623
101016004
11634380
1240bb70
132975b2
141c639a
15151089
hexf80c4

1016004 has 48 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 299040.

The previous prime is 1015991. The next prime is 1016009. The reversal of 1016004 is 4006101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1016009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5587 + ... + 5765.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

21016004 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 1016004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

1016004 is an abundant number, since it is smaller than the sum of its proper divisors (1645116).

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

1016004 is a wasteful number, since it uses less digits than its factorization.

1016004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1016004 is about 1007.9702376559. The cubic root of 1016004 is about 100.5306458359.

It can be divided in two parts, 101 and 6004, that added together give a triangular number (6105 = T110).

The spelling of 1016004 in words is "one million, sixteen thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 179 258 358 473 516 537 716 946 1074 1419 1892 1969 2148 2838 3938 5676 5907 7697 7876 11814 15394 23091 23628 30788 46182 84667 92364 169334 254001 338668 508002 1016004