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1006339152 = 243713230389
BaseRepresentation
bin111011111110111…
…000010001010000
32121010121022210110
4323332320101100
54030110323102
6243505201320
733636512250
oct7376702120
92533538713
101006339152
11477063555
12241030240
13130649670
149791b960
155d53486c
hex3bfb8450

1006339152 has 80 divisors (see below), whose sum is σ = 3199656320. Its totient is φ = 265406976.

The previous prime is 1006339151. The next prime is 1006339153. The reversal of 1006339152 is 2519336001.

It is an interprime number because it is at equal distance from previous prime (1006339151) and next prime (1006339153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006339151) 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, 110827 + ... + 119562.

It is an arithmetic number, because the mean of its divisors is an integer number (39995704).

Almost surely, 21006339152 is an apocalyptic number.

1006339152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006339152 is an abundant number, since it is smaller than the sum of its proper divisors (2193317168).

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

1006339152 is a wasteful number, since it uses less digits than its factorization.

1006339152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230420 (or 230414 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1006339152 is about 31722.8490523786. The cubic root of 1006339152 is about 1002.1086013420.

The spelling of 1006339152 in words is "one billion, six million, three hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 230389 460778 691167 921556 1382334 1612723 1843112 2764668 2995057 3225446 3686224 4838169 5529336 5990114 6450892 8985171 9676338 11058672 11980228 12901784 17970342 19352676 20965399 23960456 25803568 35940684 38705352 41930798 47920912 62896197 71881368 77410704 83861596 125792394 143762736 167723192 251584788 335446384 503169576 1006339152