Search a number
-
+
1036820048 = 241131307619
BaseRepresentation
bin111101110011001…
…001111001010000
32200020221220201112
4331303021321100
54110411220143
6250514352452
734456552655
oct7563117120
92606856645
101036820048
11492292280
1224b28b728
13136a5c4b4
149b9b3c2c
1561055e18
hex3dcc9e50

1036820048 has 80 divisors (see below), whose sum is σ = 2273187840. Its totient is φ = 453859200.

The previous prime is 1036820033. The next prime is 1036820051. The reversal of 1036820048 is 8400286301.

It is a junction number, because it is equal to n+sod(n) for n = 1036819996 and 1036820023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674683 + ... + 1675301.

It is an arithmetic number, because the mean of its divisors is an integer number (28414848).

Almost surely, 21036820048 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 1036820048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136593920).

1036820048 is an abundant number, since it is smaller than the sum of its proper divisors (1236367792).

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

1036820048 is a wasteful number, since it uses less digits than its factorization.

1036820048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1036820048 is about 32199.6901848449. The cubic root of 1036820048 is about 1012.1257219073.

The spelling of 1036820048 in words is "one billion, thirty-six million, eight hundred twenty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 307 341 496 614 619 682 1228 1238 1364 2456 2476 2728 3377 4912 4952 5456 6754 6809 9517 9904 13508 13618 19034 19189 27016 27236 38068 38378 54032 54472 76136 76756 104687 108944 152272 153512 190033 209374 211079 307024 380066 418748 422158 760132 837496 844316 1520264 1674992 1688632 2090363 3040528 3377264 4180726 5891023 8361452 11782046 16722904 23564092 33445808 47128184 64801253 94256368 129602506 259205012 518410024 1036820048