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71149440 = 273537057
BaseRepresentation
bin1000011110110…
…10011110000000
311221212202200110
410033122132000
5121203240230
611020551320
71522521525
oct417323600
9157782613
1071149440
113718669a
121b9b2540
1311981a7b
14964114c
1563a64b0
hex43da780

71149440 has 64 divisors (see below), whose sum is σ = 226794960. Its totient is φ = 18972672.

The previous prime is 71149439. The next prime is 71149451. The reversal of 71149440 is 4494117.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 71149398 and 71149407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16609 + ... + 20448.

Almost surely, 271149440 is an apocalyptic number.

It is an amenable number.

71149440 is an abundant number, since it is smaller than the sum of its proper divisors (155645520).

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

71149440 is a wasteful number, since it uses less digits than its factorization.

71149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37079 (or 37067 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 71149440 is about 8435.0127445073. The cubic root of 71149440 is about 414.3720895719.

The spelling of 71149440 in words is "seventy-one million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 37057 74114 111171 148228 185285 222342 296456 370570 444684 555855 592912 741140 889368 1111710 1185824 1482280 1778736 2223420 2371648 2964560 3557472 4446840 4743296 5929120 7114944 8893680 11858240 14229888 17787360 23716480 35574720 71149440