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71939040 = 2535149873
BaseRepresentation
bin1000100100110…
…11001111100000
312000100212210220
410102123033200
5121404022130
611045523040
71532320545
oct422331740
9160325726
1071939040
1137675958
1220113480
1311b9a2a4
1497a8bcc
1564b0410
hex449b3e0

71939040 has 48 divisors (see below), whose sum is σ = 226609488. Its totient is φ = 19183616.

The previous prime is 71939017. The next prime is 71939047. The reversal of 71939040 is 4093917.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×719390402 = 10350450952243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71938992 and 71939010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71939047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74457 + ... + 75416.

It is an arithmetic number, because the mean of its divisors is an integer number (4721031).

Almost surely, 271939040 is an apocalyptic number.

It is an amenable number.

71939040 is an abundant number, since it is smaller than the sum of its proper divisors (154670448).

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

71939040 is a wasteful number, since it uses less digits than its factorization.

71939040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149891 (or 149883 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 71939040 is about 8481.6885111397. The cubic root of 71939040 is about 415.8993222835.

The spelling of 71939040 in words is "seventy-one million, nine hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 149873 299746 449619 599492 749365 899238 1198984 1498730 1798476 2248095 2397968 2997460 3596952 4496190 4795936 5994920 7193904 8992380 11989840 14387808 17984760 23979680 35969520 71939040