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70066752 = 2637371409
BaseRepresentation
bin1000010110100…
…10001001000000
311212211202111220
410023102021000
5120414114002
610541435040
71510362150
oct413221100
9155752456
1070066752
1136607208
121b56ba80
1311693022
14943c760
1562407bc
hex42d2240

70066752 has 112 divisors (see below), whose sum is σ = 217749120. Its totient is φ = 19464192.

The previous prime is 70066751. The next prime is 70066771. The reversal of 70066752 is 25766007.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70066751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49024 + ... + 50432.

Almost surely, 270066752 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 70066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108874560).

70066752 is an abundant number, since it is smaller than the sum of its proper divisors (147682368).

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

70066752 is a wasteful number, since it uses less digits than its factorization.

70066752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 70066752 is about 8370.5885097764. The cubic root of 70066752 is about 412.2594902838.

The spelling of 70066752 in words is "seventy million, sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1409 1554 1776 2072 2368 2818 3108 3552 4144 4227 5636 6216 7104 8288 8454 9863 11272 12432 16576 16908 19726 22544 24864 29589 33816 39452 45088 49728 52133 59178 67632 78904 90176 104266 118356 135264 156399 157808 208532 236712 270528 312798 315616 364931 417064 473424 625596 631232 729862 834128 946848 1094793 1251192 1459724 1668256 1893696 2189586 2502384 2919448 3336512 4379172 5004768 5838896 8758344 10009536 11677792 17516688 23355584 35033376 70066752