Search a number
-
+
1039493616 = 243710130631
BaseRepresentation
bin111101111101010…
…110100111110000
32200102222202011120
4331331112213300
54112102243431
6251051542240
734521356430
oct7575264760
92612882146
101039493616
11493848a37
1225015a980
131374873a5
149c0ac2c0
15613d3196
hex3df569f0

1039493616 has 80 divisors (see below), whose sum is σ = 3099468288. Its totient is φ = 294048000.

The previous prime is 1039493599. The next prime is 1039493617. The reversal of 1039493616 is 6163949301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1039493617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18621 + ... + 49251.

Almost surely, 21039493616 is an apocalyptic number.

1039493616 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 1039493616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549734144).

1039493616 is an abundant number, since it is smaller than the sum of its proper divisors (2059974672).

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

1039493616 is a wasteful number, since it uses less digits than its factorization.

1039493616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30750 (or 30744 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 1039493616 is about 32241.1788866350. The cubic root of 1039493616 is about 1012.9949387551.

The spelling of 1039493616 in words is "one billion, thirty-nine million, four hundred ninety-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4848 5656 8484 11312 16968 30631 33936 61262 91893 122524 183786 214417 245048 367572 428834 490096 643251 735144 857668 1286502 1470288 1715336 2573004 3093731 3430672 5146008 6187462 9281193 10292016 12374924 18562386 21656117 24749848 37124772 43312234 49499696 64968351 74249544 86624468 129936702 148499088 173248936 259873404 346497872 519746808 1039493616