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3139509900 = 2235226339791
BaseRepresentation
bin1011101100100001…
…0001111010001100
322002210112121221110
42323020101322030
522412203304100
61235310332020
7140541252042
oct27310217214
98083477843
103139509900
11137119828a
127374ba010
133b057c787
1421ad60392
15135950250
hexbb211e8c

3139509900 has 72 divisors (see below), whose sum is σ = 9118416384. Its totient is φ = 833998400.

The previous prime is 3139509899. The next prime is 3139509907. The reversal of 3139509900 is 99059313.

It is not an unprimeable number, because it can be changed into a prime (3139509907) 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, 59005 + ... + 98795.

It is an arithmetic number, because the mean of its divisors is an integer number (126644672).

Almost surely, 23139509900 is an apocalyptic number.

3139509900 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 3139509900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559208192).

3139509900 is an abundant number, since it is smaller than the sum of its proper divisors (5978906484).

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

3139509900 is a wasteful number, since it uses less digits than its factorization.

3139509900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40071 (or 40064 counting only the distinct ones).

The product of its (nonzero) digits is 32805, while the sum is 39.

The square root of 3139509900 is about 56031.3296290566. The cubic root of 3139509900 is about 1464.2681602156.

The spelling of 3139509900 in words is "three billion, one hundred thirty-nine million, five hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 263 300 526 789 1052 1315 1578 2630 3156 3945 5260 6575 7890 13150 15780 19725 26300 39450 39791 78900 79582 119373 159164 198955 238746 397910 477492 596865 795820 994775 1193730 1989550 2387460 2984325 3979100 5968650 10465033 11937300 20930066 31395099 41860132 52325165 62790198 104650330 125580396 156975495 209300660 261625825 313950990 523251650 627901980 784877475 1046503300 1569754950 3139509900