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1370772 = 22321329101
BaseRepresentation
bin101001110101010010100
32120122100100
411032222110
5322331042
645214100
714436264
oct5165224
92518310
101370772
11856977
12561330
1338cc10
142797a4
151c124c
hex14ea94

1370772 has 72 divisors (see below), whose sum is σ = 3898440. Its totient is φ = 403200.

The previous prime is 1370749. The next prime is 1370773. The reversal of 1370772 is 2770731.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 1052676 = 564^2 + 1026^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370773) 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, 13522 + ... + 13622.

It is an arithmetic number, because the mean of its divisors is an integer number (54145).

21370772 is an apocalyptic number.

1370772 is a gapful number since it is divisible by the number (12) 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 1370772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949220).

1370772 is an abundant number, since it is smaller than the sum of its proper divisors (2527668).

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

1370772 is a wasteful number, since it uses less digits than its factorization.

1370772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 1370772 is about 1170.7997266826. The cubic root of 1370772 is about 111.0849118970.

The spelling of 1370772 in words is "one million, three hundred seventy thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 101 116 117 156 174 202 234 261 303 348 377 404 468 522 606 754 909 1044 1131 1212 1313 1508 1818 2262 2626 2929 3393 3636 3939 4524 5252 5858 6786 7878 8787 11716 11817 13572 15756 17574 23634 26361 35148 38077 47268 52722 76154 105444 114231 152308 228462 342693 456924 685386 1370772