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2940672 = 2837547
BaseRepresentation
bin1011001101111100000000
312112101211210
423031330000
51223100142
6143010120
733665250
oct13157400
95471753
102940672
111729409
12b99940
137bc657
14567960
153d149c
hex2cdf00

2940672 has 72 divisors (see below), whose sum is σ = 8960896. Its totient is φ = 838656.

The previous prime is 2940671. The next prime is 2940673. The reversal of 2940672 is 2760492.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2940671) and next prime (2940673).

It is a super-3 number, since 3×29406723 = 76288840442623033344, which contains 333 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940671) 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, 5103 + ... + 5649.

22940672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480448).

2940672 is an abundant number, since it is smaller than the sum of its proper divisors (6020224).

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

2940672 is an equidigital number, since it uses as much as digits as its factorization.

2940672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2940672 is about 1714.8387679313. The cubic root of 2940672 is about 143.2678891188.

The spelling of 2940672 in words is "two million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 547 672 768 896 1094 1344 1641 1792 2188 2688 3282 3829 4376 5376 6564 7658 8752 11487 13128 15316 17504 22974 26256 30632 35008 45948 52512 61264 70016 91896 105024 122528 140032 183792 210048 245056 367584 420096 490112 735168 980224 1470336 2940672