Search a number
-
+
71402880 = 273537189
BaseRepresentation
bin1000100000110…
…00010110000000
311222100122100010
410100120112000
5121234343010
611030224520
71524625443
oct420302600
9158318303
1071402880
113733a04a
121bab5140
1311a40233
1496a965a
156406620
hex4418580

71402880 has 64 divisors (see below), whose sum is σ = 227602800. Its totient is φ = 19040256.

The previous prime is 71402861. The next prime is 71402897. The reversal of 71402880 is 8820417.

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 congruent number.

It is an unprimeable number.

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, 16675 + ... + 20514.

Almost surely, 271402880 is an apocalyptic number.

It is an amenable number.

71402880 is an abundant number, since it is smaller than the sum of its proper divisors (156199920).

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

71402880 is a wasteful number, since it uses less digits than its factorization.

71402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37211 (or 37199 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 71402880 is about 8450.0224851772. The cubic root of 71402880 is about 414.8635153832.

The spelling of 71402880 in words is "seventy-one million, four hundred two thousand, eight hundred eighty".

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 37189 74378 111567 148756 185945 223134 297512 371890 446268 557835 595024 743780 892536 1115670 1190048 1487560 1785072 2231340 2380096 2975120 3570144 4462680 4760192 5950240 7140288 8925360 11900480 14280576 17850720 23800960 35701440 71402880