Search a number
-
+
1028916160 = 26517189139
BaseRepresentation
bin111101010101000…
…000001111000000
32122201002100121221
4331111000033000
54101400304120
6250033124424
734332433366
oct7525001700
92581070557
101028916160
11488883a38
122486b9714
13135222a3c
149a917636
15604e40aa
hex3d5403c0

1028916160 has 56 divisors (see below), whose sum is σ = 2594244240. Its totient is φ = 387354624.

The previous prime is 1028916137. The next prime is 1028916179. The reversal of 1028916160 is 616198201.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89130 + ... + 100009.

It is an arithmetic number, because the mean of its divisors is an integer number (46325790).

Almost surely, 21028916160 is an apocalyptic number.

1028916160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028916160 is an abundant number, since it is smaller than the sum of its proper divisors (1565328080).

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

1028916160 is a wasteful number, since it uses less digits than its factorization.

1028916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189173 (or 189163 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 1028916160 is about 32076.7230246483. The cubic root of 1028916160 is about 1009.5472793766.

The spelling of 1028916160 in words is "one billion, twenty-eight million, nine hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 189139 378278 756556 945695 1513112 1891390 3026224 3215363 3782780 6052448 6430726 7565560 12104896 12861452 15131120 16076815 25722904 30262240 32153630 51445808 60524480 64307260 102891616 128614520 205783232 257229040 514458080 1028916160