Search a number
-
+
70872912 = 243211101443
BaseRepresentation
bin1000011100101…
…10111101010000
311221100201100200
410032112331100
5121120413122
611011015200
71520260365
oct416267520
9157321320
1070872912
1137007960
121b89a500
13118b5c46
1495ac46c
15634e5ac
hex4396f50

70872912 has 120 divisors (see below), whose sum is σ = 219012768. Its totient is φ = 21216000.

The previous prime is 70872899. The next prime is 70872929. The reversal of 70872912 is 21927807.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159763 + ... + 160205.

Almost surely, 270872912 is an apocalyptic number.

70872912 is a gapful number since it is divisible by the number (72) 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 70872912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109506384).

70872912 is an abundant number, since it is smaller than the sum of its proper divisors (148139856).

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

70872912 is a wasteful number, since it uses less digits than its factorization.

70872912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 70872912 is about 8418.6051101118. The cubic root of 70872912 is about 413.8345624782.

It can be divided in two parts, 7087 and 2912, that added together give a palindrome (9999).

The spelling of 70872912 in words is "seventy million, eight hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 101 132 144 176 198 202 264 303 396 404 443 528 606 792 808 886 909 1111 1212 1329 1584 1616 1772 1818 2222 2424 2658 3333 3544 3636 3987 4444 4848 4873 5316 6666 7088 7272 7974 8888 9746 9999 10632 13332 14544 14619 15948 17776 19492 19998 21264 26664 29238 31896 38984 39996 43857 44743 53328 58476 63792 77968 79992 87714 89486 116952 134229 159984 175428 178972 233904 268458 350856 357944 402687 492173 536916 701712 715888 805374 984346 1073832 1476519 1610748 1968692 2147664 2953038 3221496 3937384 4429557 5906076 6442992 7874768 8859114 11812152 17718228 23624304 35436456 70872912