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1481088 = 27371929
BaseRepresentation
bin101101001100110000000
32210020200010
411221212000
5334343323
651424520
715406020
oct5514600
92706603
101481088
11921844
125b5140
133cb1ab
142a7a80
151e3c93
hex169980

1481088 has 128 divisors (see below), whose sum is σ = 4896000. Its totient is φ = 387072.

The previous prime is 1481071. The next prime is 1481099. The reversal of 1481088 is 8801841.

It is a Cunningham number, because it is equal to 12172-1.

It is a tau number, because it is divible by the number of its divisors (128).

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, 51058 + ... + 51086.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

21481088 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 1481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448000).

1481088 is an abundant number, since it is smaller than the sum of its proper divisors (3414912).

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

1481088 is a wasteful number, since it uses less digits than its factorization.

1481088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 1481088 is about 1216.9995891536. Note that the first 3 decimals coincide. The cubic root of 1481088 is about 113.9883028934.

The spelling of 1481088 in words is "one million, four hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 29 32 38 42 48 56 57 58 64 76 84 87 96 112 114 116 128 133 152 168 174 192 203 224 228 232 266 304 336 348 384 399 406 448 456 464 532 551 608 609 672 696 798 812 896 912 928 1064 1102 1216 1218 1344 1392 1596 1624 1653 1824 1856 2128 2204 2432 2436 2688 2784 3192 3248 3306 3648 3712 3857 4256 4408 4872 5568 6384 6496 6612 7296 7714 8512 8816 9744 11136 11571 12768 12992 13224 15428 17024 17632 19488 23142 25536 25984 26448 30856 35264 38976 46284 51072 52896 61712 70528 77952 92568 105792 123424 185136 211584 246848 370272 493696 740544 1481088