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70152064 = 2717103313
BaseRepresentation
bin1000010111001…
…10111110000000
311220000002112121
410023212332000
5120424331224
610543334024
71511165653
oct413467600
9156002477
1070152064
1136665314
121b5b1314
13116c2ac8
14946189a
15625abe4
hex42e6f80

70152064 has 64 divisors (see below), whose sum is σ = 149891040. Its totient is φ = 32587776.

The previous prime is 70152041. The next prime is 70152067. The reversal of 70152064 is 46025107.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70152067) 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, 223972 + ... + 224284.

Almost surely, 270152064 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 70152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74945520).

70152064 is an abundant number, since it is smaller than the sum of its proper divisors (79738976).

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

70152064 is a wasteful number, since it uses less digits than its factorization.

70152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 70152064 is about 8375.6828975314. The cubic root of 70152064 is about 412.4267423013.

The spelling of 70152064 in words is "seventy million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 128 136 206 272 313 412 544 626 824 1088 1252 1648 1751 2176 2504 3296 3502 5008 5321 6592 7004 10016 10642 13184 14008 20032 21284 28016 32239 40064 42568 56032 64478 85136 112064 128956 170272 224128 257912 340544 515824 548063 681088 1031648 1096126 2063296 2192252 4126592 4384504 8769008 17538016 35076032 70152064