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70887312 = 243483659
BaseRepresentation
bin1000011100110…
…10011110010000
311221101110010000
410032122132100
5121121343222
611011210000
71520350356
oct416323620
9157343100
1070887312
1137017761
121b8a6900
13118bc672
1495b37d6
1563539ac
hex439a790

70887312 has 100 divisors (see below), whose sum is σ = 207955440. Its totient is φ = 23308992.

The previous prime is 70887293. The next prime is 70887317. The reversal of 70887312 is 21378807.

It is a super-2 number, since 2×708873122 = 10050022005170688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (70887317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107239 + ... + 107897.

Almost surely, 270887312 is an apocalyptic number.

70887312 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 70887312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103977720).

70887312 is an abundant number, since it is smaller than the sum of its proper divisors (137068128).

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

70887312 is a wasteful number, since it uses less digits than its factorization.

70887312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 70887312 is about 8419.4603152459. The cubic root of 70887312 is about 413.8625882968.

It can be divided in two parts, 7088 and 7312, that added together give a square (14400 = 1202).

The spelling of 70887312 in words is "seventy million, eight hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 432 498 648 659 664 747 996 1296 1318 1328 1494 1977 1992 2241 2636 2988 3954 3984 4482 5272 5931 5976 6723 7908 8964 10544 11862 11952 13446 15816 17793 17928 23724 26892 31632 35586 35856 47448 53379 53784 54697 71172 94896 106758 107568 109394 142344 164091 213516 218788 284688 328182 427032 437576 492273 656364 854064 875152 984546 1312728 1476819 1969092 2625456 2953638 3938184 4430457 5907276 7876368 8860914 11814552 17721828 23629104 35443656 70887312