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2912016 = 2431931103
BaseRepresentation
bin1011000110111100010000
312110221112110
423012330100
51221141031
6142225320
733515562
oct13067420
95427473
102912016
111709928
12b85240
137ac5b3
1455b332
153c7c46
hex2c6f10

2912016 has 80 divisors (see below), whose sum is σ = 8253440. Its totient is φ = 881280.

The previous prime is 2912009. The next prime is 2912023. The reversal of 2912016 is 6102192.

It is an interprime number because it is at equal distance from previous prime (2912009) and next prime (2912023).

It is a junction number, because it is equal to n+sod(n) for n = 2911983 and 2912001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28221 + ... + 28323.

It is an arithmetic number, because the mean of its divisors is an integer number (103168).

22912016 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 2912016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126720).

2912016 is an abundant number, since it is smaller than the sum of its proper divisors (5341424).

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

2912016 is a wasteful number, since it uses less digits than its factorization.

2912016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2912016 is about 1706.4630086820. The cubic root of 2912016 is about 142.8010011778.

The spelling of 2912016 in words is "two million, nine hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 103 114 124 152 186 206 228 248 304 309 372 412 456 496 589 618 744 824 912 1178 1236 1488 1648 1767 1957 2356 2472 3193 3534 3914 4712 4944 5871 6386 7068 7828 9424 9579 11742 12772 14136 15656 19158 23484 25544 28272 31312 38316 46968 51088 60667 76632 93936 121334 153264 182001 242668 364002 485336 728004 970672 1456008 2912016