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1881216 = 27322371
BaseRepresentation
bin111001011010010000000
310112120112200
413023102000
5440144331
6104153200
721663411
oct7132200
93476480
101881216
111075427
12768800
1350b35c
1436d808
152725e6
hex1cb480

1881216 has 96 divisors (see below), whose sum is σ = 5728320. Its totient is φ = 591360.

The previous prime is 1881211. The next prime is 1881221. The reversal of 1881216 is 6121881.

It is an interprime number because it is at equal distance from previous prime (1881211) and next prime (1881221).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1881216.

It is not an unprimeable number, because it can be changed into a prime (1881211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26461 + ... + 26531.

It is an arithmetic number, because the mean of its divisors is an integer number (59670).

21881216 is an apocalyptic number.

1881216 is a gapful number since it is divisible by the number (16) 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 1881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864160).

1881216 is an abundant number, since it is smaller than the sum of its proper divisors (3847104).

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

1881216 is a wasteful number, since it uses less digits than its factorization.

1881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1881216 is about 1371.5742779740. The cubic root of 1881216 is about 123.4467198476.

The spelling of 1881216 in words is "one million, eight hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 71 72 92 96 128 138 142 144 184 192 207 213 276 284 288 368 384 414 426 552 568 576 639 736 828 852 1104 1136 1152 1278 1472 1633 1656 1704 2208 2272 2556 2944 3266 3312 3408 4416 4544 4899 5112 6532 6624 6816 8832 9088 9798 10224 13064 13248 13632 14697 19596 20448 26128 26496 27264 29394 39192 40896 52256 58788 78384 81792 104512 117576 156768 209024 235152 313536 470304 627072 940608 1881216