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2115338160 = 2435131993407
BaseRepresentation
bin111111000010101…
…0111111110110000
312110102101022102210
41332011113332300
513313011310120
6545523012120
7103264035435
oct17605277660
95412338383
102115338160
11996064961
124b050a040
1327932b3b0
14160d1db8c
15c5a96ce0
hex7e157fb0

2115338160 has 160 divisors (see below), whose sum is σ = 7099545600. Its totient is φ = 517929984.

The previous prime is 2115338143. The next prime is 2115338167. The reversal of 2115338160 is 618335112.

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

It is not an unprimeable number, because it can be changed into a prime (2115338167) 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 31 ways as a sum of consecutive naturals, for example, 619177 + ... + 622583.

It is an arithmetic number, because the mean of its divisors is an integer number (44372160).

Almost surely, 22115338160 is an apocalyptic number.

2115338160 is a gapful number since it is divisible by the number (20) 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 2115338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549772800).

2115338160 is an abundant number, since it is smaller than the sum of its proper divisors (4984207440).

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

2115338160 is a wasteful number, since it uses less digits than its factorization.

2115338160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2115338160 is about 45992.8055243426. The cubic root of 2115338160 is about 1283.6893397358.

The spelling of 2115338160 in words is "two billion, one hundred fifteen million, three hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 199 208 240 260 312 390 398 520 597 624 780 796 995 1040 1194 1560 1592 1990 2388 2587 2985 3120 3184 3407 3980 4776 5174 5970 6814 7761 7960 9552 10221 10348 11940 12935 13628 15522 15920 17035 20442 20696 23880 25870 27256 31044 34070 38805 40884 41392 44291 47760 51105 51740 54512 62088 68140 77610 81768 88582 102210 103480 124176 132873 136280 155220 163536 177164 204420 206960 221455 265746 272560 310440 354328 408840 442910 531492 620880 664365 677993 708656 817680 885820 1062984 1328730 1355986 1771640 2033979 2125968 2657460 2711972 3389965 3543280 4067958 5314920 5423944 6779930 8135916 8813909 10169895 10629840 10847888 13559860 16271832 17627818 20339790 26441727 27119720 32543664 35255636 40679580 44069545 52883454 54239440 70511272 81359160 88139090 105766908 132208635 141022544 162718320 176278180 211533816 264417270 352556360 423067632 528834540 705112720 1057669080 2115338160