Search a number
-
+
1290096 = 243217231
BaseRepresentation
bin100111010111101110000
32102112200100
410322331300
5312240341
643352400
713652133
oct4727560
92375610
101290096
118012a5
12522700
13362292
1425821a
151a73b6
hex13af70

1290096 has 90 divisors (see below), whose sum is σ = 3959072. Its totient is φ = 391680.

The previous prime is 1290083. The next prime is 1290109. The reversal of 1290096 is 6900921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1290083) and next prime (1290109).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41601 + ... + 41631.

21290096 is an apocalyptic number.

1290096 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 1290096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979536).

1290096 is an abundant number, since it is smaller than the sum of its proper divisors (2668976).

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

1290096 is a wasteful number, since it uses less digits than its factorization.

1290096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1290096 is about 1135.8239300173. The cubic root of 1290096 is about 108.8614236497.

It can be divided in two parts, 12900 and 96, that added together give a square (12996 = 1142).

The spelling of 1290096 in words is "one million, two hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 289 306 372 408 496 527 558 578 612 744 816 867 1054 1116 1156 1224 1488 1581 1734 2108 2232 2312 2448 2601 3162 3468 4216 4464 4624 4743 5202 6324 6936 8432 8959 9486 10404 12648 13872 17918 18972 20808 25296 26877 35836 37944 41616 53754 71672 75888 80631 107508 143344 161262 215016 322524 430032 645048 1290096