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71608140 = 223253141313
BaseRepresentation
bin1000100010010…
…10011101001100
311222202001220100
410101022131030
5121312430030
611034451100
71526442042
oct421123514
9158661810
1071608140
113746a28a
121bb93a90
1311ab27a6
149720392
156447360
hex444a74c

71608140 has 144 divisors (see below), whose sum is σ = 230420736. Its totient is φ = 17971200.

The previous prime is 71608139. The next prime is 71608151. The reversal of 71608140 is 4180617.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228624 + ... + 228936.

It is an arithmetic number, because the mean of its divisors is an integer number (1600144).

Almost surely, 271608140 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 71608140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115210368).

71608140 is an abundant number, since it is smaller than the sum of its proper divisors (158812596).

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

71608140 is a wasteful number, since it uses less digits than its factorization.

71608140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71608140 is about 8462.1592989024. The cubic root of 71608140 is about 415.2606675136.

Adding to 71608140 its reverse (4180617), we get a palindrome (75788757).

The spelling of 71608140 in words is "seventy-one million, six hundred eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 155 164 180 186 205 246 279 310 313 369 372 410 465 492 558 615 620 626 738 820 930 939 1116 1230 1252 1271 1395 1476 1565 1845 1860 1878 2460 2542 2790 2817 3130 3690 3756 3813 4695 5084 5580 5634 6260 6355 7380 7626 9390 9703 11268 11439 12710 12833 14085 15252 18780 19065 19406 22878 25420 25666 28170 29109 38130 38499 38812 45756 48515 51332 56340 57195 58218 64165 76260 76998 87327 97030 114390 115497 116436 128330 145545 153996 174654 192495 194060 228780 230994 256660 291090 349308 384990 397823 436635 461988 577485 582180 769980 795646 873270 1154970 1193469 1591292 1746540 1989115 2309940 2386938 3580407 3978230 4773876 5967345 7160814 7956460 11934690 14321628 17902035 23869380 35804070 71608140