Search a number
-
+
70356768 = 253799277
BaseRepresentation
bin1000011000110…
…00111100100000
311220101111100020
410030120330200
5121002404033
610551553440
71513010526
oct414307440
9156344306
1070356768
1136795099
121b68b880
1311765031
1494b6316
15629b6b3
hex4318f20

70356768 has 48 divisors (see below), whose sum is σ = 187044480. Its totient is φ = 23152896.

The previous prime is 70356751. The next prime is 70356773. The reversal of 70356768 is 86765307.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2946 + ... + 12222.

It is an arithmetic number, because the mean of its divisors is an integer number (3896760).

Almost surely, 270356768 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 70356768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93522240).

70356768 is an abundant number, since it is smaller than the sum of its proper divisors (116687712).

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

70356768 is a wasteful number, since it uses less digits than its factorization.

70356768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9369 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 70356768 is about 8387.8941338097. The cubic root of 70356768 is about 412.8275070307.

The spelling of 70356768 in words is "seventy million, three hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 9277 18554 27831 37108 55662 74216 111324 148432 222648 296864 445296 732883 890592 1465766 2198649 2931532 4397298 5863064 8794596 11726128 17589192 23452256 35178384 70356768