Search a number
-
+
40975740 = 22335132449
BaseRepresentation
bin1001110001001…
…1110101111100
32212002210011000
42130103311330
540442210430
64022130300
71005200541
oct234236574
985083130
1040975740
1121147753
1211880990
138648a00
145628bc8
1538e5e60
hex2713d7c

40975740 has 144 divisors (see below), whose sum is σ = 138348000. Its totient is φ = 10063872.

The previous prime is 40975717. The next prime is 40975751. The reversal of 40975740 is 4757904.

It is a happy number.

It is a super-2 number, since 2×409757402 = 3358022537095200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40975695 and 40975704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91036 + ... + 91484.

It is an arithmetic number, because the mean of its divisors is an integer number (960750).

Almost surely, 240975740 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 40975740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69174000).

40975740 is an abundant number, since it is smaller than the sum of its proper divisors (97372260).

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

40975740 is a wasteful number, since it uses less digits than its factorization.

40975740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 40975740 is about 6401.2295693874. The cubic root of 40975740 is about 344.7536994406.

The spelling of 40975740 in words is "forty million, nine hundred seventy-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 449 468 507 540 585 676 702 780 845 898 1014 1170 1347 1404 1521 1690 1755 1796 2028 2245 2340 2535 2694 3042 3380 3510 4041 4490 4563 5070 5388 5837 6084 6735 7020 7605 8082 8980 9126 10140 11674 12123 13470 15210 16164 17511 18252 20205 22815 23348 24246 26940 29185 30420 35022 40410 45630 48492 52533 58370 60615 70044 75881 80820 87555 91260 105066 116740 121230 151762 157599 175110 210132 227643 242460 262665 303524 315198 350220 379405 455286 525330 630396 682929 758810 787995 910572 1050660 1138215 1365858 1517620 1575990 2048787 2276430 2731716 3151980 3414645 4097574 4552860 6829290 8195148 10243935 13658580 20487870 40975740