Search a number
-
+
7270925040 = 243354378283
BaseRepresentation
bin1101100010110000…
…11000001011110000
3200202201112021002000
412301120120023300
5104342324100130
63201253054000
7345115562121
oct66130301360
920681467060
107270925040
1130a127a665
1214ab027300
138bb493b12
144cd922048
152c84d3260
hex1b16182f0

7270925040 has 160 divisors (see below), whose sum is σ = 25627050240. Its totient is φ = 1893798144.

The previous prime is 7270925033. The next prime is 7270925059. The reversal of 7270925040 is 405290727.

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 = 7270924986 and 7270925004.

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, 53739 + ... + 132021.

It is an arithmetic number, because the mean of its divisors is an integer number (160169064).

Almost surely, 27270925040 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 7270925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12813525120).

7270925040 is an abundant number, since it is smaller than the sum of its proper divisors (18356125200).

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

7270925040 is a wasteful number, since it uses less digits than its factorization.

7270925040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78348 (or 78336 counting only the distinct ones).

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

The square root of 7270925040 is about 85269.7193615647. The cubic root of 7270925040 is about 1937.2985604794.

The spelling of 7270925040 in words is "seven billion, two hundred seventy million, nine hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 72 80 86 90 108 120 129 135 144 172 180 215 216 240 258 270 344 360 387 430 432 516 540 645 688 720 774 860 1032 1080 1161 1290 1548 1720 1935 2064 2160 2322 2580 3096 3440 3870 4644 5160 5805 6192 7740 9288 10320 11610 15480 18576 23220 30960 46440 78283 92880 156566 234849 313132 391415 469698 626264 704547 782830 939396 1174245 1252528 1409094 1565660 1878792 2113641 2348490 2818188 3131320 3366169 3522735 3757584 4227282 4696980 5636376 6262640 6732338 7045470 8454564 9393960 10098507 10568205 11272752 13464676 14090940 16830845 16909128 18787920 20197014 21136410 26929352 28181880 30295521 33661690 33818256 40394028 42272820 50492535 53858704 56363760 60591042 67323380 80788056 84545640 90886563 100985070 121182084 134646760 151477605 161576112 169091280 181773126 201970140 242364168 269293520 302955210 363546252 403940280 454432815 484728336 605910420 727092504 807880560 908865630 1211820840 1454185008 1817731260 2423641680 3635462520 7270925040