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70673568 = 2537251419
BaseRepresentation
bin1000011011001…
…10010010100000
311220222120220120
410031212102200
5121043023233
611002440240
71515500250
oct415462240
9156876816
1070673568
1136991109
121b803080
13118462a4
149559960
1563104b3
hex43664a0

70673568 has 96 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 20064000.

The previous prime is 70673567. The next prime is 70673579. The reversal of 70673568 is 86537607.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (70673567) 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, 168463 + ... + 168881.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 270673568 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 70673568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

70673568 is an abundant number, since it is smaller than the sum of its proper divisors (142699872).

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

70673568 is a wasteful number, since it uses less digits than its factorization.

70673568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

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

The square root of 70673568 is about 8406.7572820916. The cubic root of 70673568 is about 413.4462011110.

The spelling of 70673568 in words is "seventy million, six hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 251 336 419 502 672 753 838 1004 1257 1506 1676 1757 2008 2514 2933 3012 3352 3514 4016 5028 5271 5866 6024 6704 7028 8032 8799 10056 10542 11732 12048 13408 14056 17598 20112 21084 23464 24096 28112 35196 40224 42168 46928 56224 70392 84336 93856 105169 140784 168672 210338 281568 315507 420676 631014 736183 841352 1262028 1472366 1682704 2208549 2524056 2944732 3365408 4417098 5048112 5889464 8834196 10096224 11778928 17668392 23557856 35336784 70673568