Search a number
-
+
70898976 = 2534171609
BaseRepresentation
bin1000011100111…
…01010100100000
311221102001010000
410032131110200
5121122231401
611011340000
71520426361
oct416352440
9157361100
1070898976
11370254a5
121b8b1600
13118c4a75
1495b7b68
156357186
hex439d520

70898976 has 120 divisors (see below), whose sum is σ = 220914540. Its totient is φ = 22228992.

The previous prime is 70898957. The next prime is 70898977. The reversal of 70898976 is 67989807.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 14288400 = 7524^2 + 3780^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (70898977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43260 + ... + 44868.

Almost surely, 270898976 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 70898976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110457270).

70898976 is an abundant number, since it is smaller than the sum of its proper divisors (150015564).

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

70898976 is a wasteful number, since it uses less digits than its factorization.

70898976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 70898976 is about 8420.1529677316. The cubic root of 70898976 is about 413.8852864279.

The spelling of 70898976 in words is "seventy million, eight hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1609 1632 1836 2448 2592 2754 3218 3672 4827 4896 5508 6436 7344 9654 11016 12872 14481 14688 19308 22032 25744 27353 28962 38616 43443 44064 51488 54706 57924 77232 82059 86886 109412 115848 130329 154464 164118 173772 218824 231696 246177 260658 328236 347544 437648 463392 492354 521316 656472 695088 738531 875296 984708 1042632 1312944 1390176 1477062 1969416 2085264 2215593 2625888 2954124 3938832 4170528 4431186 5908248 7877664 8862372 11816496 17724744 23632992 35449488 70898976