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74100054 = 23721032447
BaseRepresentation
bin1000110101010…
…10110101010110
312011102200011110
410122222311112
5122432200204
611204115450
71556561100
oct432526526
9164380143
1074100054
1138911516
1220995b86
1312475ab2
149bac570
15678a889
hex46aad56

74100054 has 48 divisors (see below), whose sum is σ = 174140928. Its totient is φ = 20957328.

The previous prime is 74100041. The next prime is 74100077. The reversal of 74100054 is 45000147.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 74100054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29059 + ... + 31505.

It is an arithmetic number, because the mean of its divisors is an integer number (3627936).

Almost surely, 274100054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74100054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87070464).

74100054 is an abundant number, since it is smaller than the sum of its proper divisors (100040874).

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

74100054 is a wasteful number, since it uses less digits than its factorization.

74100054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 74100054 is about 8608.1388232300. The cubic root of 74100054 is about 420.0227765426.

It can be divided in two parts, 74 and 100054, that added together give a triangular number (100128 = T447).

The spelling of 74100054 in words is "seventy-four million, one hundred thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 103 147 206 294 309 618 721 1442 2163 2447 4326 4894 5047 7341 10094 14682 15141 17129 30282 34258 51387 102774 119903 239806 252041 359709 504082 719418 756123 1512246 1764287 3528574 5292861 10585722 12350009 24700018 37050027 74100054