Search a number
-
+
70609728 = 2637107491
BaseRepresentation
bin1000011010101…
…10101101000000
311220212100100010
410031112231000
5121034002403
611001224520
71515113160
oct415265500
9156770303
1070609728
1136948152
121b792140
1311823207
1495405a0
1562eb603
hex4356b40

70609728 has 112 divisors (see below), whose sum is σ = 215944704. Its totient is φ = 19944960.

The previous prime is 70609709. The next prime is 70609739. The reversal of 70609728 is 82790607.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 143563 + ... + 144053.

Almost surely, 270609728 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 70609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107972352).

70609728 is an abundant number, since it is smaller than the sum of its proper divisors (145334976).

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

70609728 is a wasteful number, since it uses less digits than its factorization.

70609728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 70609728 is about 8402.9594786599. The cubic root of 70609728 is about 413.3216738531.

The spelling of 70609728 in words is "seventy million, six hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 168 192 214 224 321 336 428 448 491 642 672 749 856 982 1284 1344 1473 1498 1712 1964 2247 2568 2946 2996 3424 3437 3928 4494 5136 5892 5992 6848 6874 7856 8988 10272 10311 11784 11984 13748 15712 17976 20544 20622 23568 23968 27496 31424 35952 41244 47136 47936 52537 54992 71904 82488 94272 105074 109984 143808 157611 164976 210148 219968 315222 329952 367759 420296 630444 659904 735518 840592 1103277 1260888 1471036 1681184 2206554 2521776 2942072 3362368 4413108 5043552 5884144 8826216 10087104 11768288 17652432 23536576 35304864 70609728