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1156049680 = 245194911549
BaseRepresentation
bin100010011100111…
…1110101100010000
32222120022102000211
41010321332230100
54331422042210
6310414053504
740435155142
oct10471765420
92876272024
101156049680
11543618265
122831aa294
13155676886
14ad76cc92
156b75838a
hex44e7eb10

1156049680 has 80 divisors (see below), whose sum is σ = 2836872000. Its totient is φ = 436907520.

The previous prime is 1156049669. The next prime is 1156049683. The reversal of 1156049680 is 869406511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1156049683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745546 + ... + 747094.

It is an arithmetic number, because the mean of its divisors is an integer number (35460900).

Almost surely, 21156049680 is an apocalyptic number.

1156049680 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 1156049680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418436000).

1156049680 is an abundant number, since it is smaller than the sum of its proper divisors (1680822320).

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

1156049680 is a wasteful number, since it uses less digits than its factorization.

1156049680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 1156049680 is about 34000.7305803861. The cubic root of 1156049680 is about 1049.5234965634.

The spelling of 1156049680 in words is "one billion, one hundred fifty-six million, forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 491 760 982 1520 1549 1964 2455 3098 3928 4910 6196 7745 7856 9329 9820 12392 15490 18658 19640 24784 29431 30980 37316 39280 46645 58862 61960 74632 93290 117724 123920 147155 149264 186580 235448 294310 373160 470896 588620 746320 760559 1177240 1521118 2354480 3042236 3802795 6084472 7605590 12168944 14450621 15211180 28901242 30422360 57802484 60844720 72253105 115604968 144506210 231209936 289012420 578024840 1156049680