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2940905136 = 243138356783
BaseRepresentation
bin1010111101001010…
…1010011010110000
321120221211110102110
42233102222122300
522010332431021
61203453445320
7132610165311
oct25722523260
97527743373
102940905136
11127a078614
126a0aa0840
1337b393570
141dc822608
151232be476
hexaf4aa6b0

2940905136 has 80 divisors (see below), whose sum is σ = 8280470016. Its totient is φ = 893975808.

The previous prime is 2940905087. The next prime is 2940905159. The reversal of 2940905136 is 6315090492.

2940905136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2940905094 and 2940905103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23401 + ... + 80183.

Almost surely, 22940905136 is an apocalyptic number.

2940905136 is a gapful number since it is divisible by the number (26) 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 2940905136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140235008).

2940905136 is an abundant number, since it is smaller than the sum of its proper divisors (5339564880).

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

2940905136 is a wasteful number, since it uses less digits than its factorization.

2940905136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56890 (or 56884 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 2940905136 is about 54230.1128156673. The cubic root of 2940905136 is about 1432.7167510376.

The spelling of 2940905136 in words is "two billion, nine hundred forty million, nine hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 208 249 312 332 498 624 664 996 1079 1328 1992 2158 3237 3984 4316 6474 8632 12948 17264 25896 51792 56783 113566 170349 227132 340698 454264 681396 738179 908528 1362792 1476358 2214537 2725584 2952716 4429074 4712989 5905432 8858148 9425978 11810864 14138967 17716296 18851956 28277934 35432592 37703912 56555868 61268857 75407824 113111736 122537714 183806571 226223472 245075428 367613142 490150856 735226284 980301712 1470452568 2940905136