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74069632 = 277136359
BaseRepresentation
bin1000110101000…
…11011010000000
312011101010102201
410122203122000
5122430212012
611203322544
71556403310
oct432433200
9164333381
1074069632
11388a067a
1220980454
1312464cb0
149ba1440
156781857
hex46a3680

74069632 has 64 divisors (see below), whose sum is σ = 181641600. Its totient is φ = 29297664.

The previous prime is 74069599. The next prime is 74069641. The reversal of 74069632 is 23696047.

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

It is a junction number, because it is equal to n+sod(n) for n = 74069591 and 74069600.

It is a congruent number.

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, 8469 + ... + 14827.

It is an arithmetic number, because the mean of its divisors is an integer number (2838150).

Almost surely, 274069632 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 74069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90820800).

74069632 is an abundant number, since it is smaller than the sum of its proper divisors (107571968).

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

74069632 is a wasteful number, since it uses less digits than its factorization.

74069632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 74069632 is about 8606.3715931861. The cubic root of 74069632 is about 419.9652881365.

The spelling of 74069632 in words is "seventy-four million, sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 6359 11648 12718 25436 44513 50872 82667 89026 101744 165334 178052 203488 330668 356104 406976 578669 661336 712208 813952 1157338 1322672 1424416 2314676 2645344 2848832 4629352 5290688 5697664 9258704 10581376 18517408 37034816 74069632