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40367970 = 2345194361
BaseRepresentation
bin1001100111111…
…1011101100010
32210221220110000
42121333131202
540313233340
64001120430
71000056606
oct231773542
983856400
1040367970
1120872065
1211629116
138495196
14550b506
153825d30
hex267f762

40367970 has 160 divisors (see below), whose sum is σ = 118831680. Its totient is φ = 9797760.

The previous prime is 40367953. The next prime is 40367981. The reversal of 40367970 is 7976304.

40367970 is nontrivially palindromic in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 661740 + ... + 661800.

It is an arithmetic number, because the mean of its divisors is an integer number (742698).

Almost surely, 240367970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40367970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59415840).

40367970 is an abundant number, since it is smaller than the sum of its proper divisors (78463710).

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

40367970 is a wasteful number, since it uses less digits than its factorization.

40367970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 40367970 is about 6353.5793061864. The cubic root of 40367970 is about 343.0406896681.

The spelling of 40367970 in words is "forty million, three hundred sixty-seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 43 45 54 57 61 81 86 90 95 114 122 129 135 162 171 183 190 215 258 270 285 305 342 366 387 405 430 513 549 570 610 645 774 810 817 855 915 1026 1098 1159 1161 1290 1539 1634 1647 1710 1830 1935 2318 2322 2451 2565 2623 2745 3078 3294 3477 3483 3870 4085 4902 4941 5130 5246 5490 5795 5805 6954 6966 7353 7695 7869 8170 8235 9882 10431 11590 11610 12255 13115 14706 15390 15738 16470 17385 17415 20862 22059 23607 24510 24705 26230 31293 34770 34830 36765 39345 44118 47214 49410 49837 52155 62586 66177 70821 73530 78690 93879 99674 104310 110295 118035 132354 141642 149511 156465 187758 212463 220590 236070 249185 299022 312930 330885 354105 424926 448533 469395 498370 661770 708210 747555 897066 938790 1062315 1345599 1495110 2124630 2242665 2691198 4036797 4485330 6727995 8073594 13455990 20183985 40367970