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71087380 = 225713139281
BaseRepresentation
bin1000011110010…
…11010100010100
311221202121112221
410033023110110
5121144244010
611015352124
71522142560
oct417132424
9157677487
1071087380
1137144001
121b982644
131195c750
1496266a0
156392dda
hex43cb514

71087380 has 96 divisors (see below), whose sum is σ = 185713920. Its totient is φ = 22256640.

The previous prime is 71087369. The next prime is 71087383. The reversal of 71087380 is 8378017.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71087383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252840 + ... + 253120.

It is an arithmetic number, because the mean of its divisors is an integer number (1934520).

Almost surely, 271087380 is an apocalyptic number.

71087380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71087380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92856960).

71087380 is an abundant number, since it is smaller than the sum of its proper divisors (114626540).

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

71087380 is a wasteful number, since it uses less digits than its factorization.

71087380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 71087380 is about 8431.3332279065. Note that the first 3 decimals coincide. The cubic root of 71087380 is about 414.2515760330.

The spelling of 71087380 in words is "seventy-one million, eighty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 139 140 182 260 278 281 364 455 556 562 695 910 973 1124 1390 1405 1807 1820 1946 1967 2780 2810 3614 3653 3892 3934 4865 5620 7228 7306 7868 9035 9730 9835 12649 14612 18070 18265 19460 19670 25298 25571 36140 36530 39059 39340 50596 51142 63245 73060 78118 102284 126490 127855 156236 195295 252980 255710 273413 390590 507767 511420 546826 781180 1015534 1093652 1367065 2031068 2538835 2734130 3554369 5077670 5468260 7108738 10155340 14217476 17771845 35543690 71087380