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71874054 = 235737571
BaseRepresentation
bin1000100100010…
…11011000000110
312000020120200000
410102023120012
5121344432204
611044302130
71531630230
oct422133006
9160216600
1071874054
113763104a
12200a1946
1311b76835
14978d250
15649b039
hex448b606

71874054 has 96 divisors (see below), whose sum is σ = 189885696. Its totient is φ = 19945440.

The previous prime is 71874031. The next prime is 71874059. The reversal of 71874054 is 45047817.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71874059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125589 + ... + 126159.

It is an arithmetic number, because the mean of its divisors is an integer number (1977976).

Almost surely, 271874054 is an apocalyptic number.

71874054 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71874054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94942848).

71874054 is an abundant number, since it is smaller than the sum of its proper divisors (118011642).

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

71874054 is a wasteful number, since it uses less digits than its factorization.

71874054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 71874054 is about 8477.8566866868. The cubic root of 71874054 is about 415.7740505910.

The spelling of 71874054 in words is "seventy-one million, eight hundred seventy-four thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 243 259 333 378 486 518 567 571 666 777 999 1134 1142 1554 1701 1713 1998 2331 2997 3402 3426 3997 4662 5139 5994 6993 7994 8991 10278 11991 13986 15417 17982 20979 21127 23982 30834 35973 41958 42254 46251 62937 63381 71946 92502 107919 125874 126762 138753 147889 190143 215838 277506 295778 323757 380286 443667 570429 647514 887334 971271 1140858 1331001 1711287 1942542 2662002 3422574 3993003 5133861 7986006 10267722 11979009 23958018 35937027 71874054