Search a number
-
+
1280749140 = 2232511646843
BaseRepresentation
bin100110001010110…
…1010111001010100
310022020221210112100
41030111222321110
510110332433030
6331030522100
743511121336
oct11425527124
93266853470
101280749140
115a7a49870
122b8b06330
13175457838
14c214d456
157768b360
hex4c56ae54

1280749140 has 72 divisors (see below), whose sum is σ = 4238121888. Its totient is φ = 310484160.

The previous prime is 1280749133. The next prime is 1280749147. The reversal of 1280749140 is 419470821.

1280749140 is a `hidden beast` number, since 128 + 0 + 7 + 491 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1280749133) and next prime (1280749147).

It is a super-2 number, since 2×12807491402 = 3280636719221479200, 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 = 1280749095 and 1280749104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1280749147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321442 + ... + 325401.

It is an arithmetic number, because the mean of its divisors is an integer number (58862804).

Almost surely, 21280749140 is an apocalyptic number.

1280749140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1280749140 is an abundant number, since it is smaller than the sum of its proper divisors (2957372748).

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

1280749140 is a wasteful number, since it uses less digits than its factorization.

1280749140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646869 (or 646864 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1280749140 is about 35787.5556583570. Note that the first 3 decimals coincide. The cubic root of 1280749140 is about 1085.9788260373.

The spelling of 1280749140 in words is "one billion, two hundred eighty million, seven hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 646843 1293686 1940529 2587372 3234215 3881058 5821587 6468430 7115273 7762116 9702645 11643174 12936860 14230546 19405290 21345819 23286348 28461092 29107935 35576365 38810580 42691638 58215870 64037457 71152730 85383276 106729095 116431740 128074914 142305460 213458190 256149828 320187285 426916380 640374570 1280749140