Search a number
-
+
2721513340 = 2257131787961
BaseRepresentation
bin1010001000110110…
…1111111101111100
321000200000012110101
42202031233331330
521033201411330
61130015250444
7124304324140
oct24215577574
97020005411
102721513340
111177250287
1263b519a24
13344aa9930
141bb633220
1510ddd44ca
hexa236ff7c

2721513340 has 96 divisors (see below), whose sum is σ = 7447918464. Its totient is φ = 810639360.

The previous prime is 2721513337. The next prime is 2721513359. The reversal of 2721513340 is 433151272.

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 = 2721513299 and 2721513308.

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, 13041 + ... + 74920.

It is an arithmetic number, because the mean of its divisors is an integer number (77582484).

Almost surely, 22721513340 is an apocalyptic number.

2721513340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2721513340 is an abundant number, since it is smaller than the sum of its proper divisors (4726405124).

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

2721513340 is a wasteful number, since it uses less digits than its factorization.

2721513340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88007 (or 88005 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2721513340 is about 52168.1257090956. The cubic root of 2721513340 is about 1396.1652438609.

The spelling of 2721513340 in words is "two billion, seven hundred twenty-one million, five hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1547 1820 2210 2380 3094 4420 6188 7735 15470 30940 87961 175922 351844 439805 615727 879610 1143493 1231454 1495337 1759220 2286986 2462908 2990674 3078635 4573972 5717465 5981348 6157270 7476685 8004451 10467359 11434930 12314540 14953370 16008902 19439381 20934718 22869860 29906740 32017804 38878762 40022255 41869436 52336795 77757524 80044510 97196905 104673590 136075667 160089020 194393810 209347180 272151334 388787620 544302668 680378335 1360756670 2721513340