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1074681624 = 233239720071
BaseRepresentation
bin100000000001110…
…0101011100011000
32202220012111001010
41000003211130120
54200104302444
6254350053520
735426433402
oct10003453430
92686174033
101074681624
115016a2235
1225baaa2a0
131418578b3
14a2a2bb72
15645342b9
hex400e5718

1074681624 has 64 divisors (see below), whose sum is σ = 2832560640. Its totient is φ = 339102720.

The previous prime is 1074681617. The next prime is 1074681677. The reversal of 1074681624 is 4261864701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43509 + ... + 63579.

It is an arithmetic number, because the mean of its divisors is an integer number (44258760).

Almost surely, 21074681624 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 1074681624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416280320).

1074681624 is an abundant number, since it is smaller than the sum of its proper divisors (1757879016).

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

1074681624 is a wasteful number, since it uses less digits than its factorization.

1074681624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1074681624 is about 32782.3370734913. The cubic root of 1074681624 is about 1024.2986672543.

The spelling of 1074681624 in words is "one billion, seventy-four million, six hundred eighty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 97 138 184 194 276 291 388 552 582 776 1164 2231 2328 4462 6693 8924 13386 17848 20071 26772 40142 53544 60213 80284 120426 160568 240852 461633 481704 923266 1384899 1846532 1946887 2769798 3693064 3893774 5539596 5840661 7787548 11079192 11681322 15575096 23362644 44778401 46725288 89556802 134335203 179113604 268670406 358227208 537340812 1074681624