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760222540 = 2257112631877
BaseRepresentation
bin101101010100000…
…001001101001100
31221222111022021101
4231110001031030
53024104110130
6203234112444
724560533150
oct5524011514
91858438241
10760222540
113601424a0
1219271b724
13c166672c
1472d73060
1546b1b1ca
hex2d50134c

760222540 has 96 divisors (see below), whose sum is σ = 1999033344. Its totient is φ = 235925760.

The previous prime is 760222537. The next prime is 760222591. The reversal of 760222540 is 45222067.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 760222499 and 760222508.

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, 404082 + ... + 405958.

It is an arithmetic number, because the mean of its divisors is an integer number (20823264).

Almost surely, 2760222540 is an apocalyptic number.

760222540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760222540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999516672).

760222540 is an abundant number, since it is smaller than the sum of its proper divisors (1238810804).

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

760222540 is a wasteful number, since it uses less digits than its factorization.

760222540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 760222540 is about 27572.1333958764. The cubic root of 760222540 is about 912.6695910473.

The spelling of 760222540 in words is "seven hundred sixty million, two hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 263 308 385 526 770 1052 1315 1540 1841 1877 2630 2893 3682 3754 5260 5786 7364 7508 9205 9385 11572 13139 14465 18410 18770 20251 20647 26278 28930 36820 37540 40502 41294 52556 57860 65695 81004 82588 101255 103235 131390 144529 202510 206470 262780 289058 405020 412940 493651 578116 722645 987302 1445290 1974604 2468255 2890580 3455557 4936510 5430161 6911114 9873020 10860322 13822228 17277785 21720644 27150805 34555570 38011127 54301610 69111140 76022254 108603220 152044508 190055635 380111270 760222540