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2723072 = 2811967
BaseRepresentation
bin1010011000110100000000
312010100100112
422120310000
51144114242
6134210452
732100662
oct12306400
95110315
102723072
11159a980
12ab3a28
137445b1
1450c532
1538bc82
hex298d00

2723072 has 36 divisors (see below), whose sum is σ = 5935776. Its totient is φ = 1236480.

The previous prime is 2723069. The next prime is 2723107. The reversal of 2723072 is 2703272.

It is a super-2 number, since 2×27230722 = 14830242234368, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2333 + ... + 3299.

22723072 is an apocalyptic number.

2723072 is a gapful number since it is divisible by the number (22) 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 2723072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967888).

2723072 is an abundant number, since it is smaller than the sum of its proper divisors (3212704).

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

2723072 is an equidigital number, since it uses as much as digits as its factorization.

2723072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 2723072 is about 1650.1733242299. The cubic root of 2723072 is about 139.6431729371.

The spelling of 2723072 in words is "two million, seven hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 967 1408 1934 2816 3868 7736 10637 15472 21274 30944 42548 61888 85096 123776 170192 247552 340384 680768 1361536 2723072