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1981070588 = 227317157541
BaseRepresentation
bin111011000010100…
…1011110011111100
312010001201210221202
41312011023303330
513024123224323
6524325115032
7100043552000
oct16605136374
95101653852
101981070588
11927298722
12473558a78
1325757a323
1414b16c700
15b8dc3d28
hex7614bcfc

1981070588 has 96 divisors (see below), whose sum is σ = 4316054400. Its totient is φ = 792529920.

The previous prime is 1981070519. The next prime is 1981070603. The reversal of 1981070588 is 8850701891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3661598 + ... + 3662138.

It is an arithmetic number, because the mean of its divisors is an integer number (44958900).

Almost surely, 21981070588 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 1981070588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158027200).

1981070588 is an abundant number, since it is smaller than the sum of its proper divisors (2334983812).

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

1981070588 is a wasteful number, since it uses less digits than its factorization.

1981070588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 47.

The square root of 1981070588 is about 44509.2191349163. The cubic root of 1981070588 is about 1255.9335155891.

The spelling of 1981070588 in words is "one billion, nine hundred eighty-one million, seventy thousand, five hundred eighty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 157 196 238 314 343 476 541 628 686 833 1082 1099 1372 1666 2164 2198 2669 3332 3787 4396 5338 5831 7574 7693 9197 10676 11662 15148 15386 18394 18683 23324 26509 30772 36788 37366 53018 53851 64379 74732 84937 106036 107702 128758 130781 169874 185563 215404 257516 261562 339748 371126 450653 523124 594559 742252 901306 915467 1189118 1443929 1802612 1830934 2378236 2887858 3154571 3661868 4161913 5775716 6309142 8323826 10107503 12618284 16647652 20215006 29133391 40430012 58266782 70752521 116533564 141505042 283010084 495267647 990535294 1981070588