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1240007680 = 21051271907
BaseRepresentation
bin100100111101001…
…0000010000000000
310012102021220202101
41021322100100000
510014420221210
6323013400144
742504614512
oct11172202000
93172256671
101240007680
11586a5213a
122a7339054
13169b91672
14ba985bb2
1573cdea3a
hex49e90400

1240007680 has 88 divisors (see below), whose sum is σ = 2999559168. Its totient is φ = 491839488.

The previous prime is 1240007669. The next prime is 1240007707. The reversal of 1240007680 is 867000421.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649287 + ... + 651193.

Almost surely, 21240007680 is an apocalyptic number.

1240007680 is a gapful number since it is divisible by the number (10) 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 1240007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499779584).

1240007680 is an abundant number, since it is smaller than the sum of its proper divisors (1759551488).

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

1240007680 is a wasteful number, since it uses less digits than its factorization.

1240007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1240007680 is about 35213.7427718213. The cubic root of 1240007680 is about 1074.3392889706.

The spelling of 1240007680 in words is "one billion, two hundred forty million, seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1024 1270 1280 1907 2032 2540 2560 3814 4064 5080 5120 7628 8128 9535 10160 15256 16256 19070 20320 30512 32512 38140 40640 61024 65024 76280 81280 122048 130048 152560 162560 242189 244096 305120 325120 484378 488192 610240 650240 968756 976384 1210945 1220480 1937512 1952768 2421890 2440960 3875024 4843780 4881920 7750048 9687560 9763840 15500096 19375120 31000192 38750240 62000384 77500480 124000768 155000960 248001536 310001920 620003840 1240007680