Search a number
-
+
70207488 = 2113213293
BaseRepresentation
bin1000010111101…
…00100000000000
311220002220120100
410023310200000
5120433114423
610544442400
71511516361
oct413644000
9156086510
1070207488
11366a2a1a
121b619400
13117120c0
149477b68
15626c343
hex42f4800

70207488 has 144 divisors (see below), whose sum is σ = 219115260. Its totient is φ = 21528576.

The previous prime is 70207471. The next prime is 70207499. The reversal of 70207488 is 88470207.

It can be written as a sum of positive squares in 2 ways, for example, as 69755904 + 451584 = 8352^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239470 + ... + 239762.

Almost surely, 270207488 is an apocalyptic number.

70207488 is a gapful number since it is divisible by the number (78) 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 70207488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109557630).

70207488 is an abundant number, since it is smaller than the sum of its proper divisors (148907772).

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

70207488 is a wasteful number, since it uses less digits than its factorization.

70207488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 70207488 is about 8378.9908700272. The cubic root of 70207488 is about 412.5353270020.

The spelling of 70207488 in words is "seventy million, two hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 293 312 384 416 468 512 576 586 624 768 832 879 936 1024 1152 1172 1248 1536 1664 1758 1872 2048 2304 2344 2496 2637 3072 3328 3516 3744 3809 4608 4688 4992 5274 6144 6656 7032 7488 7618 9216 9376 9984 10548 11427 13312 14064 14976 15236 18432 18752 19968 21096 22854 26624 28128 29952 30472 34281 37504 39936 42192 45708 56256 59904 60944 68562 75008 79872 84384 91416 112512 119808 121888 137124 150016 168768 182832 225024 239616 243776 274248 300032 337536 365664 450048 487552 548496 600064 675072 731328 900096 975104 1096992 1350144 1462656 1800192 1950208 2193984 2700288 2925312 3900416 4387968 5400576 5850624 7800832 8775936 11701248 17551872 23402496 35103744 70207488