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1024066740 = 2235177271381
BaseRepresentation
bin111101000010100…
…000010010110100
32122100221222110210
4331002200102310
54044130113430
6245341145420
734243265214
oct7502402264
92570858423
101024066740
11486071554
12246b5b270
13134215668
149a014244
155ed872b0
hex3d0a04b4

1024066740 has 96 divisors (see below), whose sum is σ = 3042434304. Its totient is φ = 256481280.

The previous prime is 1024066739. The next prime is 1024066777. The reversal of 1024066740 is 476604201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1024066698 and 1024066707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740850 + ... + 742230.

It is an arithmetic number, because the mean of its divisors is an integer number (31692024).

Almost surely, 21024066740 is an apocalyptic number.

1024066740 is a gapful number since it is divisible by the number (10) 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 1024066740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521217152).

1024066740 is an abundant number, since it is smaller than the sum of its proper divisors (2018367564).

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

1024066740 is a wasteful number, since it uses less digits than its factorization.

1024066740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1024066740 is about 32001.0427955090. The cubic root of 1024066740 is about 1007.9587371305.

The spelling of 1024066740 in words is "one billion, twenty-four million, sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 727 1020 1381 1454 2181 2762 2908 3635 4143 4362 5524 6905 7270 8286 8724 10905 12359 13810 14540 16572 20715 21810 23477 24718 27620 37077 41430 43620 46954 49436 61795 70431 74154 82860 93908 117385 123590 140862 148308 185385 234770 247180 281724 352155 370770 469540 704310 741540 1003987 1408620 2007974 3011961 4015948 5019935 6023922 10039870 12047844 15059805 17067779 20079740 30119610 34135558 51203337 60239220 68271116 85338895 102406674 170677790 204813348 256016685 341355580 512033370 1024066740