Search a number
-
+
270789456 = 24377111351
BaseRepresentation
bin10000001000111…
…110101101010000
3200212112112022010
4100020332231100
51023310230311
642511542520
76465446430
oct2010765520
9625475263
10270789456
11129943143
127682aa40
1344141262
1427d6c2c0
1518b8dda6
hex1023eb50

270789456 has 80 divisors (see below), whose sum is σ = 810805248. Its totient is φ = 76272000.

The previous prime is 270789451. The next prime is 270789457. The reversal of 270789456 is 654987072.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270789451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18181 + ... + 29531.

Almost surely, 2270789456 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 270789456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405402624).

270789456 is an abundant number, since it is smaller than the sum of its proper divisors (540015792).

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

270789456 is a wasteful number, since it uses less digits than its factorization.

270789456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11434 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 270789456 is about 16455.6815720285. The cubic root of 270789456 is about 646.9597315973.

The spelling of 270789456 in words is "two hundred seventy million, seven hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 5964 7952 11351 11928 22702 23856 34053 45404 68106 79457 90808 136212 158914 181616 238371 272424 317828 476742 544848 635656 805921 953484 1271312 1611842 1906968 2417763 3223684 3813936 4835526 5641447 6447368 9671052 11282894 12894736 16924341 19342104 22565788 33848682 38684208 45131576 67697364 90263152 135394728 270789456