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1299072 = 27317199
BaseRepresentation
bin100111101001010000000
32102222222210
410331022000
5313032242
643502120
714020245
oct4751200
92388883
101299072
11808015
12527940
133663a8
1425b5cc
151a9d9c
hex13d280

1299072 has 64 divisors (see below), whose sum is σ = 3672000. Its totient is φ = 405504.

The previous prime is 1299061. The next prime is 1299079. The reversal of 1299072 is 2709921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12990722 = 3375176122368, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1299079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6429 + ... + 6627.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

21299072 is an apocalyptic number.

1299072 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 1299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836000).

1299072 is an abundant number, since it is smaller than the sum of its proper divisors (2372928).

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

1299072 is a wasteful number, since it uses less digits than its factorization.

1299072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1299072 is about 1139.7683975264. The cubic root of 1299072 is about 109.1133125705.

The spelling of 1299072 in words is "one million, two hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 199 204 272 384 398 408 544 597 796 816 1088 1194 1592 1632 2176 2388 3184 3264 3383 4776 6368 6528 6766 9552 10149 12736 13532 19104 20298 25472 27064 38208 40596 54128 76416 81192 108256 162384 216512 324768 433024 649536 1299072