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71388096 = 2631337773
BaseRepresentation
bin1000100000101…
…00101111000000
311222022220001120
410100110233000
5121233404341
611030032240
71524534363
oct420245700
9158286046
1071388096
1137329a2a
121baa8680
1311a365a0
1496a40da
156402066
hex4414bc0

71388096 has 112 divisors (see below), whose sum is σ = 209178144. Its totient is φ = 21344256.

The previous prime is 71388077. The next prime is 71388103. The reversal of 71388096 is 69088317.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91966 + ... + 92738.

It is an arithmetic number, because the mean of its divisors is an integer number (1867662).

Almost surely, 271388096 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 71388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104589072).

71388096 is an abundant number, since it is smaller than the sum of its proper divisors (137790048).

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

71388096 is a wasteful number, since it uses less digits than its factorization.

71388096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 71388096 is about 8449.1476493194. The cubic root of 71388096 is about 414.8348808446.

The spelling of 71388096 in words is "seventy-one million, three hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 296 312 416 444 481 592 624 773 832 888 962 1184 1248 1443 1546 1776 1924 2319 2368 2496 2886 3092 3552 3848 4638 5772 6184 7104 7696 9276 10049 11544 12368 15392 18552 20098 23088 24736 28601 30147 30784 37104 40196 46176 49472 57202 60294 74208 80392 85803 92352 114404 120588 148416 160784 171606 228808 241176 321568 343212 371813 457616 482352 643136 686424 743626 915232 964704 1115439 1372848 1487252 1830464 1929408 2230878 2745696 2974504 4461756 5491392 5949008 8923512 11898016 17847024 23796032 35694048 71388096