Search a number
-
+
71708480 = 265239743
BaseRepresentation
bin1000100011000…
…10111101000000
311222221011112122
410101202331000
5121324132410
611040543412
71530340424
oct421427500
9158834478
1071708480
1137528708
1220021b68
1311b1936c
149748b84
156466e55
hex4462f40

71708480 has 56 divisors (see below), whose sum is σ = 178198272. Its totient is φ = 27433472.

The previous prime is 71708473. The next prime is 71708531. The reversal of 71708480 is 8480717.

It is a super-2 number, since 2×717084802 = 10284212207820800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 71708480.

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, 2489 + ... + 12231.

It is an arithmetic number, because the mean of its divisors is an integer number (3182112).

Almost surely, 271708480 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 71708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89099136).

71708480 is an abundant number, since it is smaller than the sum of its proper divisors (106489792).

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

71708480 is a wasteful number, since it uses less digits than its factorization.

71708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9783 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 71708480 is about 8468.0859702769. The cubic root of 71708480 is about 415.4545365747.

The spelling of 71708480 in words is "seventy-one million, seven hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 9743 19486 38972 48715 77944 97430 155888 194860 224089 311776 389720 448178 623552 779440 896356 1120445 1558880 1792712 2240890 3117760 3585424 4481780 7170848 8963560 14341696 17927120 35854240 71708480