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71831430 = 23251137253
BaseRepresentation
bin1000100100000…
…00111110000110
312000011102012100
410102000332012
5121342101210
611043332530
71531362036
oct422007606
9160142170
1071831430
1137602020
1220081146
1311b60308
14977b8c6
15648d5c0
hex4480f86

71831430 has 144 divisors (see below), whose sum is σ = 213346224. Its totient is φ = 16623360.

The previous prime is 71831411. The next prime is 71831449. The reversal of 71831430 is 3413817.

It is an interprime number because it is at equal distance from previous prime (71831411) and next prime (71831449).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71831394 and 71831403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1355284 + ... + 1355336.

It is an arithmetic number, because the mean of its divisors is an integer number (1481571).

Almost surely, 271831430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71831430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106673112).

71831430 is an abundant number, since it is smaller than the sum of its proper divisors (141514794).

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

71831430 is a wasteful number, since it uses less digits than its factorization.

71831430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71831430 is about 8475.3424709566. The cubic root of 71831430 is about 415.6918444885.

The spelling of 71831430 in words is "seventy-one million, eight hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 53 55 66 74 90 99 106 110 111 159 165 185 198 222 265 318 330 333 370 407 477 495 530 555 583 666 795 814 954 990 1110 1166 1221 1369 1590 1665 1749 1961 2035 2385 2442 2738 2915 3330 3498 3663 3922 4070 4107 4770 5247 5830 5883 6105 6845 7326 8214 8745 9805 10494 11766 12210 12321 13690 15059 17490 17649 18315 19610 20535 21571 24642 26235 29415 30118 35298 36630 41070 43142 45177 52470 58830 61605 64713 72557 75295 88245 90354 107855 123210 129426 135531 145114 150590 176490 194139 215710 217671 225885 271062 323565 362785 388278 435342 451770 647130 653013 677655 725570 798127 970695 1088355 1306026 1355310 1596254 1941390 2176710 2394381 3265065 3990635 4788762 6530130 7183143 7981270 11971905 14366286 23943810 35915715 71831430