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1030445136 = 243279371091
BaseRepresentation
bin111101011010110…
…101100001010000
32122210222000222200
4331122311201100
54102243221021
6250130003200
734351432140
oct7532654120
92583860880
101030445136
11489728756
12249116500
13135639966
149abd4920
15606e7126
hex3d6b5850

1030445136 has 120 divisors (see below), whose sum is σ = 3302330304. Its totient is φ = 293829120.

The previous prime is 1030445131. The next prime is 1030445137. The reversal of 1030445136 is 6315440301.

1030445136 is a `hidden beast` number, since 103 + 0 + 44 + 513 + 6 = 666.

1030445136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030445131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943951 + ... + 945041.

Almost surely, 21030445136 is an apocalyptic number.

1030445136 is a gapful number since it is divisible by the number (16) 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 1030445136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651165152).

1030445136 is an abundant number, since it is smaller than the sum of its proper divisors (2271885168).

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

1030445136 is a wasteful number, since it uses less digits than its factorization.

1030445136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1030445136 is about 32100.5472850542. The cubic root of 1030445136 is about 1010.0470964543.

Adding to 1030445136 its reverse (6315440301), we get a palindrome (7345885437).

The spelling of 1030445136 in words is "one billion, thirty million, four hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 937 1008 1091 1874 2182 2811 3273 3748 4364 5622 6546 6559 7496 7637 8433 8728 9819 11244 13092 13118 14992 15274 16866 17456 19638 19677 22488 22911 26184 26236 30548 33732 39276 39354 44976 45822 52368 52472 59031 61096 67464 68733 78552 78708 91644 104944 118062 122192 134928 137466 157104 157416 183288 236124 274932 314832 366576 472248 549864 944496 1022267 1099728 2044534 3066801 4089068 6133602 7155869 8178136 9200403 12267204 14311738 16356272 18400806 21467607 24534408 28623476 36801612 42935214 49068816 57246952 64402821 73603224 85870428 114493904 128805642 147206448 171740856 257611284 343481712 515222568 1030445136