Search a number
-
+
2725794960 = 243571795441
BaseRepresentation
bin1010001001111000…
…0101010010010000
321000222001201201220
42202132011102100
521040300414320
61130251125040
7124355606040
oct24236052220
97028051656
102725794960
111179705109
12640a43780
13345948735
141bc029720
1510e47ce40
hexa2785490

2725794960 has 160 divisors (see below), whose sum is σ = 10225274112. Its totient is φ = 586383360.

The previous prime is 2725794959. The next prime is 2725794979. The reversal of 2725794960 is 694975272.

It is a super-2 number, since 2×27257949602 = 14859916327922803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 19161 + ... + 76280.

Almost surely, 22725794960 is an apocalyptic number.

2725794960 is a gapful number since it is divisible by the number (20) 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 2725794960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112637056).

2725794960 is an abundant number, since it is smaller than the sum of its proper divisors (7499479152).

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

2725794960 is a wasteful number, since it uses less digits than its factorization.

2725794960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95481 (or 95475 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 2725794960 is about 52209.1463251412. The cubic root of 2725794960 is about 1396.8970324088.

The spelling of 2725794960 in words is "two billion, seven hundred twenty-five million, seven hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 95441 190882 286323 381764 477205 572646 668087 763528 954410 1145292 1336174 1431615 1527056 1622497 1908820 2004261 2290584 2672348 2863230 3244994 3340435 3817640 4008522 4581168 4867491 5344696 5726460 6489988 6680870 7635280 8017044 8112485 9734982 10021305 10689392 11357479 11452920 12979976 13361740 16034088 16224970 19469964 20042610 22714958 22905840 24337455 25959952 26723480 32068176 32449940 34072437 38939928 40085220 45429916 48674910 53446960 56787395 64899880 68144874 77879856 80170440 90859832 97349820 113574790 129799760 136289748 160340880 170362185 181719664 194699640 227149580 272579496 340724370 389399280 454299160 545158992 681448740 908598320 1362897480 2725794960