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1076315220 = 22325172111667
BaseRepresentation
bin100000000100111…
…0100010001010100
32210000021110220200
41000021310101110
54201014041340
6254445100500
735446346151
oct10011642124
92700243820
101076315220
11502608612
12260557730
13141caa316
14a2d35228
1564758330
hex40274454

1076315220 has 144 divisors (see below), whose sum is σ = 3475338048. Its totient is φ = 268692480.

The previous prime is 1076315209. The next prime is 1076315263. The reversal of 1076315220 is 225136701.

It is a happy number.

1076315220 is a `hidden beast` number, since 1 + 0 + 7 + 631 + 5 + 2 + 20 = 666.

It is a super-3 number, since 3×10763152203 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644827 + ... + 646493.

It is an arithmetic number, because the mean of its divisors is an integer number (24134292).

Almost surely, 21076315220 is an apocalyptic number.

1076315220 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 1076315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737669024).

1076315220 is an abundant number, since it is smaller than the sum of its proper divisors (2399022828).

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

1076315220 is a wasteful number, since it uses less digits than its factorization.

1076315220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1076315220 is about 32807.2434075160. The cubic root of 1076315220 is about 1024.8174078877.

The spelling of 1076315220 in words is "one billion, seventy-six million, three hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 211 255 306 340 422 510 612 633 765 844 1020 1055 1266 1530 1667 1899 2110 2532 3060 3165 3334 3587 3798 4220 5001 6330 6668 7174 7596 8335 9495 10002 10761 12660 14348 15003 16670 17935 18990 20004 21522 25005 28339 30006 32283 33340 35870 37980 43044 50010 53805 56678 60012 64566 71740 75015 85017 100020 107610 113356 129132 141695 150030 161415 170034 215220 255051 283390 300060 322830 340068 351737 425085 510102 566780 645660 703474 850170 1020204 1055211 1275255 1406948 1700340 1758685 2110422 2550510 3165633 3517370 4220844 5101020 5276055 5979529 6331266 7034740 10552110 11959058 12662532 15828165 17938587 21104220 23918116 29897645 31656330 35877174 53815761 59795290 63312660 71754348 89692935 107631522 119590580 179385870 215263044 269078805 358771740 538157610 1076315220