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3138832840 = 23511133714831
BaseRepresentation
bin1011101100010110…
…1100100111001000
322002202021020012011
42323011230213020
522412020122330
61235244025304
7140532432103
oct27305544710
98082236164
103138832840
111370875630
12737232234
133b03a3550
1421ac2573a
1513586982a
hexbb16c9c8

3138832840 has 128 divisors (see below), whose sum is σ = 8521873920. Its totient is φ = 1025049600.

The previous prime is 3138832811. The next prime is 3138832847. The reversal of 3138832840 is 482388313.

3138832840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3138832793 and 3138832802.

It is not an unprimeable number, because it can be changed into a prime (3138832847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204225 + ... + 219055.

It is an arithmetic number, because the mean of its divisors is an integer number (66577140).

Almost surely, 23138832840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138832840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260936960).

3138832840 is an abundant number, since it is smaller than the sum of its proper divisors (5383041080).

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

3138832840 is a wasteful number, since it uses less digits than its factorization.

3138832840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14903 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 3138832840 is about 56025.2875048402. The cubic root of 3138832840 is about 1464.1628923332.

The spelling of 3138832840 in words is "three billion, one hundred thirty-eight million, eight hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 37 40 44 52 55 65 74 88 104 110 130 143 148 185 220 260 286 296 370 407 440 481 520 572 715 740 814 962 1144 1430 1480 1628 1924 2035 2405 2860 3256 3848 4070 4810 5291 5720 8140 9620 10582 14831 16280 19240 21164 26455 29662 42328 52910 59324 74155 105820 118648 148310 163141 192803 211640 296620 326282 385606 548747 593240 652564 771212 815705 964015 1097494 1305128 1542424 1631410 1928030 2120833 2194988 2743735 3262820 3856060 4241666 4389976 5487470 6036217 6525640 7133711 7712120 8483332 10604165 10974940 12072434 14267422 16966664 21208330 21949880 24144868 28534844 30181085 35668555 42416660 48289736 57069688 60362170 71337110 78470821 84833320 120724340 142674220 156941642 241448680 285348440 313883284 392354105 627766568 784708210 1569416420 3138832840