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1149256704 = 21033710111
BaseRepresentation
bin100010010000000…
…0100010000000000
32222002112021211010
41010200010100000
54323202203304
6310012320520
740323343431
oct10440042000
92862467733
101149256704
1153a7a8632
12280a73140
1315413896b
14ac8c1488
156ad65789
hex44804400

1149256704 has 88 divisors (see below), whose sum is σ = 3146288128. Its totient is φ = 372695040.

The previous prime is 1149256699. The next prime is 1149256721. The reversal of 1149256704 is 4076529411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108609 + ... + 118719.

Almost surely, 21149256704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573144064).

1149256704 is an abundant number, since it is smaller than the sum of its proper divisors (1997031424).

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

1149256704 is a wasteful number, since it uses less digits than its factorization.

1149256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10171 (or 10153 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1149256704 is about 33900.6888425589. The cubic root of 1149256704 is about 1047.4637817823.

The spelling of 1149256704 in words is "one billion, one hundred forty-nine million, two hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2368 3072 3552 4736 7104 9472 10111 14208 18944 20222 28416 30333 37888 40444 56832 60666 80888 113664 121332 161776 242664 323552 374107 485328 647104 748214 970656 1122321 1294208 1496428 1941312 2244642 2588416 2992856 3882624 4489284 5176832 5985712 7765248 8978568 10353664 11971424 15530496 17957136 23942848 31060992 35914272 47885696 71828544 95771392 143657088 191542784 287314176 383085568 574628352 1149256704