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3138161880 = 23357376243
BaseRepresentation
bin1011101100001100…
…1000110011011000
322002201000010210210
42323003020303120
522411332140010
61235221411120
7140523636000
oct27303106330
98081003723
103138161880
111370457517
12736b69aa0
133b01ca029
1421aacd000
15135785b20
hexbb0c8cd8

3138161880 has 128 divisors (see below), whose sum is σ = 10979136000. Its totient is φ = 717284736.

The previous prime is 3138161839. The next prime is 3138161909. The reversal of 3138161880 is 881618313.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 3039 + ... + 79281.

It is an arithmetic number, because the mean of its divisors is an integer number (85774500).

Almost surely, 23138161880 is an apocalyptic number.

3138161880 is a gapful number since it is divisible by the number (30) 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 3138161880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489568000).

3138161880 is an abundant number, since it is smaller than the sum of its proper divisors (7840974120).

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

3138161880 is a wasteful number, since it uses less digits than its factorization.

3138161880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76278 (or 76260 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 3138161880 is about 56019.2991744809. The cubic root of 3138161880 is about 1464.0585579313.

The spelling of 3138161880 in words is "three billion, one hundred thirty-eight million, one hundred sixty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160 76243 152486 228729 304972 381215 457458 533701 609944 762430 914916 1067402 1143645 1524860 1601103 1829832 2134804 2287290 2668505 3049720 3202206 3735907 4269608 4574580 5337010 6404412 7471814 8005515 9149160 10674020 11207721 12808824 14943628 16011030 18679535 21348040 22415442 26151349 29887256 32022060 37359070 44830884 52302698 56038605 64044120 74718140 78454047 89661768 104605396 112077210 130756745 149436280 156908094 209210792 224154420 261513490 313816188 392270235 448308840 523026980 627632376 784540470 1046053960 1569080940 3138161880