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74135936 = 27797853
BaseRepresentation
bin1000110101100…
…11100110000000
312011111111101102
410122303212000
5122434322221
611204553532
71560100520
oct432634600
9164444342
1074135936
1138936476
12209b28a8
1312489224
149bbb680
15679630b
hex46b3980

74135936 has 64 divisors (see below), whose sum is σ = 170731680. Its totient is φ = 31408128.

The previous prime is 74135927. The next prime is 74135947. The reversal of 74135936 is 63953147.

It is a happy number.

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

It is a super-2 number, since 2×741359362 = 10992274013192192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74135936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86486 + ... + 87338.

Almost surely, 274135936 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 74135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85365840).

74135936 is an abundant number, since it is smaller than the sum of its proper divisors (96595744).

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

74135936 is an equidigital number, since it uses as much as digits as its factorization.

74135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its digits is 68040, while the sum is 38.

The square root of 74135936 is about 8610.2227613460. Note that the first 3 decimals coincide. The cubic root of 74135936 is about 420.0905624816.

The spelling of 74135936 in words is "seventy-four million, one hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 194 224 388 448 679 776 853 896 1358 1552 1706 2716 3104 3412 5432 5971 6208 6824 10864 11942 12416 13648 21728 23884 27296 43456 47768 54592 82741 86912 95536 109184 165482 191072 330964 382144 579187 661928 764288 1158374 1323856 2316748 2647712 4633496 5295424 9266992 10590848 18533984 37067968 74135936