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1142795628 = 2234131811499
BaseRepresentation
bin100010000011101…
…1010110101101100
32221122101000220000
41010013122311230
54320023430003
6305222024300
740214413452
oct10407326554
92848330800
101142795628
115370952a7
1227a878090
131529b5b40
14ababc9d2
156a4db1a3
hex441dad6c

1142795628 has 120 divisors (see below), whose sum is σ = 3237234000. Its totient is φ = 349453440.

The previous prime is 1142795627. The next prime is 1142795639. The reversal of 1142795628 is 8265972411.

1142795628 is a `hidden beast` number, since 1 + 14 + 2 + 7 + 9 + 5 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142795627) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 761623 + ... + 763121.

It is an arithmetic number, because the mean of its divisors is an integer number (26976950).

Almost surely, 21142795628 is an apocalyptic number.

1142795628 is a gapful number since it is divisible by the number (18) 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 1142795628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618617000).

1142795628 is an abundant number, since it is smaller than the sum of its proper divisors (2094438372).

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

1142795628 is a wasteful number, since it uses less digits than its factorization.

1142795628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1698 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1142795628 is about 33805.2603598907. The cubic root of 1142795628 is about 1045.4971583405.

The spelling of 1142795628 in words is "one billion, one hundred forty-two million, seven hundred ninety-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 181 234 324 351 362 468 543 702 724 1053 1086 1404 1499 1629 2106 2172 2353 2998 3258 4212 4497 4706 4887 5996 6516 7059 8994 9412 9774 13491 14118 14661 17988 19487 19548 21177 26982 28236 29322 38974 40473 42354 53964 58461 58644 63531 77948 80946 84708 116922 121419 127062 161892 175383 190593 233844 242838 254124 271319 350766 381186 485676 526149 542638 701532 762372 813957 1052298 1085276 1578447 1627914 2104596 2441871 3156894 3255828 3527147 4883742 6313788 7054294 7325613 9767484 10581441 14108588 14651226 21162882 21976839 29302452 31744323 42325764 43953678 63488646 87907356 95232969 126977292 190465938 285698907 380931876 571397814 1142795628