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1076144220 = 2232541145819
BaseRepresentation
bin100000000100100…
…1010100001011100
32202222221210100100
41000021022201130
54200443103340
6254441301100
735445034464
oct10011124134
92688853310
101076144220
11502501098
12260494790
13141c4a538
14a2cccba4
1564722830
hex4024a85c

1076144220 has 72 divisors (see below), whose sum is σ = 3343944240. Its totient is φ = 279970560.

The previous prime is 1076144213. The next prime is 1076144227. The reversal of 1076144220 is 224416701.

1076144220 is a `hidden beast` number, since 1 + 0 + 7 + 614 + 42 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1076144213) and next prime (1076144227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076144227) 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, 65530 + ... + 80289.

It is an arithmetic number, because the mean of its divisors is an integer number (46443670).

Almost surely, 21076144220 is an apocalyptic number.

1076144220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076144220 is an abundant number, since it is smaller than the sum of its proper divisors (2267800020).

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

1076144220 is a wasteful number, since it uses less digits than its factorization.

1076144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145875 (or 145870 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1076144220 is about 32804.6371722048. The cubic root of 1076144220 is about 1024.7631322582.

The spelling of 1076144220 in words is "one billion, seventy-six million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 145819 291638 437457 583276 729095 874914 1312371 1458190 1749828 2187285 2624742 2916380 4374570 5249484 5978579 6561855 8749140 11957158 13123710 17935737 23914316 26247420 29892895 35871474 53807211 59785790 71742948 89678685 107614422 119571580 179357370 215228844 269036055 358714740 538072110 1076144220