Search a number
-
+
1070454 = 237211331
BaseRepresentation
bin100000101010101110110
32000101101110
410011111312
5233223304
634535450
712045600
oct4052566
92011343
101070454
11671280
12437586
132b6308
141dc170
15162289
hex105576

1070454 has 48 divisors (see below), whose sum is σ = 2725056. Its totient is φ = 277200.

The previous prime is 1070453. The next prime is 1070471. The reversal of 1070454 is 4540701.

It is a super-2 number, since 2×10704542 = 2291743532232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1070454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3069 + ... + 3399.

It is an arithmetic number, because the mean of its divisors is an integer number (56772).

21070454 is an apocalyptic number.

1070454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362528).

1070454 is an abundant number, since it is smaller than the sum of its proper divisors (1654602).

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

1070454 is a wasteful number, since it uses less digits than its factorization.

1070454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1070454 is about 1034.6274691888. The cubic root of 1070454 is about 102.2953760300.

The spelling of 1070454 in words is "one million, seventy thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 331 462 539 662 993 1078 1617 1986 2317 3234 3641 4634 6951 7282 10923 13902 16219 21846 25487 32438 48657 50974 76461 97314 152922 178409 356818 535227 1070454