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71346720 = 2535148639
BaseRepresentation
bin1000100000010…
…10101000100000
311222020210022010
410100022220200
5121231043340
611025112520
71524302634
oct420125040
9158223263
1071346720
1137300935
121ba88740
1311a207c3
149692dc4
1563e4b80
hex440aa20

71346720 has 48 divisors (see below), whose sum is σ = 224743680. Its totient is φ = 19025664.

The previous prime is 71346707. The next prime is 71346721. The reversal of 71346720 is 2764317.

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

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

It is not an unprimeable number, because it can be changed into a prime (71346721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73840 + ... + 74799.

It is an arithmetic number, because the mean of its divisors is an integer number (4682160).

Almost surely, 271346720 is an apocalyptic number.

It is an amenable number.

71346720 is an abundant number, since it is smaller than the sum of its proper divisors (153396960).

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

71346720 is a wasteful number, since it uses less digits than its factorization.

71346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148657 (or 148649 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 71346720 is about 8446.6987634223. The cubic root of 71346720 is about 414.7547203037.

The spelling of 71346720 in words is "seventy-one million, three hundred forty-six thousand, seven hundred twenty".

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 148639 297278 445917 594556 743195 891834 1189112 1486390 1783668 2229585 2378224 2972780 3567336 4459170 4756448 5945560 7134672 8918340 11891120 14269344 17836680 23782240 35673360 71346720