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70144176 = 24317671283
BaseRepresentation
bin1000010111001…
…01000010110000
311212222200201110
410023211002300
5120424103201
610543233320
71511133654
oct413450260
9155880643
1070144176
113665a3a3
121b5a8840
13116bc33b
14945ca64
1562586d6
hex42e50b0

70144176 has 80 divisors (see below), whose sum is σ = 194880384. Its totient is φ = 21660672.

The previous prime is 70144169. The next prime is 70144187. The reversal of 70144176 is 67144107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54031 + ... + 55313.

Almost surely, 270144176 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 70144176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97440192).

70144176 is an abundant number, since it is smaller than the sum of its proper divisors (124736208).

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

70144176 is a wasteful number, since it uses less digits than its factorization.

70144176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 70144176 is about 8375.2119973168. The cubic root of 70144176 is about 412.4112837678.

The spelling of 70144176 in words is "seventy million, one hundred forty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 134 136 201 204 268 272 402 408 536 804 816 1072 1139 1283 1608 2278 2566 3216 3417 3849 4556 5132 6834 7698 9112 10264 13668 15396 18224 20528 21811 27336 30792 43622 54672 61584 65433 85961 87244 130866 171922 174488 257883 261732 343844 348976 515766 523464 687688 1031532 1046928 1375376 1461337 2063064 2922674 4126128 4384011 5845348 8768022 11690696 17536044 23381392 35072088 70144176