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74166036 = 223717167311
BaseRepresentation
bin1000110101110…
…10111100010100
312011120000200020
410122322330110
5122441303121
611205345140
71560254340
oct432727424
9164500606
1074166036
113895704a
1220a081b0
1312499b39
149bc8620
1567a01c6
hex46baf14

74166036 has 96 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 19760640.

The previous prime is 74166011. The next prime is 74166067. The reversal of 74166036 is 63066147.

It is a junction number, because it is equal to n+sod(n) for n = 74165988 and 74166006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238321 + ... + 238631.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 274166036 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 74166036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

74166036 is an abundant number, since it is smaller than the sum of its proper divisors (137175276).

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

74166036 is a wasteful number, since it uses less digits than its factorization.

74166036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 74166036 is about 8611.9705062198. The cubic root of 74166036 is about 420.1474085750.

The spelling of 74166036 in words is "seventy-four million, one hundred sixty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 167 204 238 311 334 357 476 501 622 668 714 933 1002 1169 1244 1428 1866 2004 2177 2338 2839 3507 3732 4354 4676 5287 5678 6531 7014 8517 8708 10574 11356 13062 14028 15861 17034 19873 21148 26124 31722 34068 37009 39746 51937 59619 63444 74018 79492 103874 111027 119238 148036 155811 207748 222054 238476 311622 363559 444108 623244 727118 882929 1090677 1454236 1765858 2181354 2648787 3531716 4362708 5297574 6180503 10595148 12361006 18541509 24722012 37083018 74166036