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1372392 = 233272389
BaseRepresentation
bin101001111000011101000
32120201120100
411033003220
5322404032
645225400
714444100
oct5170350
92521510
101372392
1185810a
12562260
13390888
1427a200
151c197c
hex14f0e8

1372392 has 72 divisors (see below), whose sum is σ = 4334850. Its totient is φ = 391104.

The previous prime is 1372391. The next prime is 1372403. The reversal of 1372392 is 2932731.

It can be written as a sum of positive squares in only one way, i.e., 1285956 + 86436 = 1134^2 + 294^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1372391) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3334 + ... + 3722.

21372392 is an apocalyptic number.

1372392 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 1372392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167425).

1372392 is an abundant number, since it is smaller than the sum of its proper divisors (2962458).

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

1372392 is a wasteful number, since it uses less digits than its factorization.

1372392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 1372392 is about 1171.4913572024. The cubic root of 1372392 is about 111.1286553037.

It can be divided in two parts, 1372 and 392, that multiplied together give a 5-th power (537824 = 145).

The spelling of 1372392 in words is "one million, three hundred seventy-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 389 392 441 504 588 778 882 1167 1176 1556 1764 2334 2723 3112 3501 3528 4668 5446 7002 8169 9336 10892 14004 16338 19061 21784 24507 28008 32676 38122 49014 57183 65352 76244 98028 114366 152488 171549 196056 228732 343098 457464 686196 1372392