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71938104 = 23371931727
BaseRepresentation
bin1000100100110…
…11000000111000
312000100211112020
410102123000320
5121404004404
611045514440
71532315040
oct422330070
9160324466
1071938104
1137675187
1220112a20
1311b99a34
1497a8720
1564aeed9
hex449b038

71938104 has 128 divisors (see below), whose sum is σ = 223641600. Its totient is φ = 18817920.

The previous prime is 71938099. The next prime is 71938121. The reversal of 71938104 is 40183917.

It is a super-2 number, since 2×719381042 = 10350181614229632, which contains 22 as substring.

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, 98589 + ... + 99315.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 271938104 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 71938104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111820800).

71938104 is an abundant number, since it is smaller than the sum of its proper divisors (151703496).

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

71938104 is a wasteful number, since it uses less digits than its factorization.

71938104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 71938104 is about 8481.6333332678. The cubic root of 71938104 is about 415.8975185181.

The spelling of 71938104 in words is "seventy-one million, nine hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 31 38 42 56 57 62 76 84 93 114 124 133 152 168 186 217 228 248 266 372 399 434 456 532 589 651 727 744 798 868 1064 1178 1302 1454 1596 1736 1767 2181 2356 2604 2908 3192 3534 4123 4362 4712 5089 5208 5816 7068 8246 8724 10178 12369 13813 14136 15267 16492 17448 20356 22537 24738 27626 30534 32984 40712 41439 45074 49476 55252 61068 67611 82878 90148 96691 98952 110504 122136 135222 157759 165756 180296 193382 270444 290073 315518 331512 386764 428203 473277 540888 580146 631036 773528 856406 946554 1160292 1262072 1284609 1712812 1893108 2320584 2569218 2997421 3425624 3786216 5138436 5994842 8992263 10276872 11989684 17984526 23979368 35969052 71938104