Search a number
-
+
70163712 = 283310151
BaseRepresentation
bin1000010111010…
…01110100000000
311220000200112000
410023221310000
5120430214322
610543504000
71511244633
oct413516400
9156020460
1070163712
1136673043
121b5b8000
13116c81b8
149465c1a
15625e3ac
hex42e9d00

70163712 has 72 divisors (see below), whose sum is σ = 207506880. Its totient is φ = 23385600.

The previous prime is 70163711. The next prime is 70163741. The reversal of 70163712 is 21736107.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70163711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1837 + ... + 11987.

It is an arithmetic number, because the mean of its divisors is an integer number (2882040).

Almost surely, 270163712 is an apocalyptic number.

70163712 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 70163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103753440).

70163712 is an abundant number, since it is smaller than the sum of its proper divisors (137343168).

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

70163712 is a wasteful number, since it uses less digits than its factorization.

70163712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10176 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 70163712 is about 8376.3782149566. The cubic root of 70163712 is about 412.4495673880.

Adding to 70163712 its reverse (21736107), we get a palindrome (91899819).

The spelling of 70163712 in words is "seventy million, one hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 10151 20302 30453 40604 60906 81208 91359 121812 162416 182718 243624 274077 324832 365436 487248 548154 649664 730872 974496 1096308 1299328 1461744 1948992 2192616 2598656 2923488 3897984 4385232 5846976 7795968 8770464 11693952 17540928 23387904 35081856 70163712